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Finding the Third Proportional to 65,744 and 97,872

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Solution

The third proportional to 65,744 and 97,872 is: 145,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,744 : 97,872 = 97,872 : x
  2. Step 2: Convert to fraction form
    65,744/97,872 = 97,872/x
  3. Step 3: Cross multiply
    65,744x = 97,872 × 97,872
  4. Step 4: Simplify right side
    65,744x = 9,578,928,384
  5. Step 5: Solve for x
    x = 9,578,928,384/65,744
  6. Step 6: Final answer
    x = 145,700.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.