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Finding the Third Proportional to 65,086 and 97,374

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Solution

The third proportional to 65,086 and 97,374 is: 145,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,086 : 97,374 = 97,374 : x
  2. Step 2: Convert to fraction form
    65,086/97,374 = 97,374/x
  3. Step 3: Cross multiply
    65,086x = 97,374 × 97,374
  4. Step 4: Simplify right side
    65,086x = 9,481,695,876
  5. Step 5: Solve for x
    x = 9,481,695,876/65,086
  6. Step 6: Final answer
    x = 145,679.50

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Why These Related Problems?

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