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Finding the Third Proportional to 61,539 and 134,468

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Solution

The third proportional to 61,539 and 134,468 is: 293,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,539 : 134,468 = 134,468 : x
  2. Step 2: Convert to fraction form
    61,539/134,468 = 134,468/x
  3. Step 3: Cross multiply
    61,539x = 134,468 × 134,468
  4. Step 4: Simplify right side
    61,539x = 18,081,643,024
  5. Step 5: Solve for x
    x = 18,081,643,024/61,539
  6. Step 6: Final answer
    x = 293,824.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.