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Finding the Third Proportional to 61,666 and 132,931

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Solution

The third proportional to 61,666 and 132,931 is: 286,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,666 : 132,931 = 132,931 : x
  2. Step 2: Convert to fraction form
    61,666/132,931 = 132,931/x
  3. Step 3: Cross multiply
    61,666x = 132,931 × 132,931
  4. Step 4: Simplify right side
    61,666x = 17,670,650,761
  5. Step 5: Solve for x
    x = 17,670,650,761/61,666
  6. Step 6: Final answer
    x = 286,554.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.