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Finding the Third Proportional to 84,130.50 and 185,758.50

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Solution

The third proportional to 84,130.50 and 185,758.50 is: 410,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,130.50 : 185,758.50 = 185,758.50 : x
  2. Step 2: Convert to fraction form
    84,130.50/185,758.50 = 185,758.50/x
  3. Step 3: Cross multiply
    84,130.50x = 185,758.50 × 185,758.50
  4. Step 4: Simplify right side
    84,130.50x = 34,506,220,322.25
  5. Step 5: Solve for x
    x = 34,506,220,322.25/84,130.50
  6. Step 6: Final answer
    x = 410,151.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.