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Finding the Third Proportional to 61,972 and 98,484

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Solution

The third proportional to 61,972 and 98,484 is: 156,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,972 : 98,484 = 98,484 : x
  2. Step 2: Convert to fraction form
    61,972/98,484 = 98,484/x
  3. Step 3: Cross multiply
    61,972x = 98,484 × 98,484
  4. Step 4: Simplify right side
    61,972x = 9,699,098,256
  5. Step 5: Solve for x
    x = 9,699,098,256/61,972
  6. Step 6: Final answer
    x = 156,507.75

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Why These Related Problems?

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