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Finding the Third Proportional to 84,412.13 and 180,123.75

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Solution

The third proportional to 84,412.13 and 180,123.75 is: 384,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,412.13 : 180,123.75 = 180,123.75 : x
  2. Step 2: Convert to fraction form
    84,412.13/180,123.75 = 180,123.75/x
  3. Step 3: Cross multiply
    84,412.13x = 180,123.75 × 180,123.75
  4. Step 4: Simplify right side
    84,412.13x = 32,444,565,314.06
  5. Step 5: Solve for x
    x = 32,444,565,314.06/84,412.13
  6. Step 6: Final answer
    x = 384,359.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.