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Finding the Third Proportional to 61,614 and 97,941

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Solution

The third proportional to 61,614 and 97,941 is: 155,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,614 : 97,941 = 97,941 : x
  2. Step 2: Convert to fraction form
    61,614/97,941 = 97,941/x
  3. Step 3: Cross multiply
    61,614x = 97,941 × 97,941
  4. Step 4: Simplify right side
    61,614x = 9,592,439,481
  5. Step 5: Solve for x
    x = 9,592,439,481/61,614
  6. Step 6: Final answer
    x = 155,686.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.