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Finding the Third Proportional to 61,166.25 and 129,683

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Solution

The third proportional to 61,166.25 and 129,683 is: 274,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,166.25 : 129,683 = 129,683 : x
  2. Step 2: Convert to fraction form
    61,166.25/129,683 = 129,683/x
  3. Step 3: Cross multiply
    61,166.25x = 129,683 × 129,683
  4. Step 4: Simplify right side
    61,166.25x = 16,817,680,489
  5. Step 5: Solve for x
    x = 16,817,680,489/61,166.25
  6. Step 6: Final answer
    x = 274,950.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.