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Finding the Third Proportional to 84,205.13 and 180,081

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Solution

The third proportional to 84,205.13 and 180,081 is: 385,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,205.13 : 180,081 = 180,081 : x
  2. Step 2: Convert to fraction form
    84,205.13/180,081 = 180,081/x
  3. Step 3: Cross multiply
    84,205.13x = 180,081 × 180,081
  4. Step 4: Simplify right side
    84,205.13x = 32,429,166,561
  5. Step 5: Solve for x
    x = 32,429,166,561/84,205.13
  6. Step 6: Final answer
    x = 385,121.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.