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Finding the Third Proportional to 65,174 and 97,472

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Solution

The third proportional to 65,174 and 97,472 is: 145,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174 : 97,472 = 97,472 : x
  2. Step 2: Convert to fraction form
    65,174/97,472 = 97,472/x
  3. Step 3: Cross multiply
    65,174x = 97,472 × 97,472
  4. Step 4: Simplify right side
    65,174x = 9,500,790,784
  5. Step 5: Solve for x
    x = 9,500,790,784/65,174
  6. Step 6: Final answer
    x = 145,775.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.