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Finding the Third Proportional to 65,332 and 97,744

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Solution

The third proportional to 65,332 and 97,744 is: 146,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,332 : 97,744 = 97,744 : x
  2. Step 2: Convert to fraction form
    65,332/97,744 = 97,744/x
  3. Step 3: Cross multiply
    65,332x = 97,744 × 97,744
  4. Step 4: Simplify right side
    65,332x = 9,553,889,536
  5. Step 5: Solve for x
    x = 9,553,889,536/65,332
  6. Step 6: Final answer
    x = 146,235.99

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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.