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Finding the Third Proportional to 64,932 and 97,398

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Solution

The third proportional to 64,932 and 97,398 is: 146,097

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,932 : 97,398 = 97,398 : x
  2. Step 2: Convert to fraction form
    64,932/97,398 = 97,398/x
  3. Step 3: Cross multiply
    64,932x = 97,398 × 97,398
  4. Step 4: Simplify right side
    64,932x = 9,486,370,404
  5. Step 5: Solve for x
    x = 9,486,370,404/64,932
  6. Step 6: Final answer
    x = 146,097

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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.