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Finding the Third Proportional to 82,387.13 and 123,580.13

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Solution

The third proportional to 82,387.13 and 123,580.13 is: 185,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,387.13 : 123,580.13 = 123,580.13 : x
  2. Step 2: Convert to fraction form
    82,387.13/123,580.13 = 123,580.13/x
  3. Step 3: Cross multiply
    82,387.13x = 123,580.13 × 123,580.13
  4. Step 4: Simplify right side
    82,387.13x = 15,272,047,295.02
  5. Step 5: Solve for x
    x = 15,272,047,295.02/82,387.13
  6. Step 6: Final answer
    x = 185,369.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.