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Finding the Third Proportional to 65,952 and 106,344

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Solution

The third proportional to 65,952 and 106,344 is: 171,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952 : 106,344 = 106,344 : x
  2. Step 2: Convert to fraction form
    65,952/106,344 = 106,344/x
  3. Step 3: Cross multiply
    65,952x = 106,344 × 106,344
  4. Step 4: Simplify right side
    65,952x = 11,309,046,336
  5. Step 5: Solve for x
    x = 11,309,046,336/65,952
  6. Step 6: Final answer
    x = 171,473.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.