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Finding the Third Proportional to 65,412 and 101,262

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Solution

The third proportional to 65,412 and 101,262 is: 156,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412 : 101,262 = 101,262 : x
  2. Step 2: Convert to fraction form
    65,412/101,262 = 101,262/x
  3. Step 3: Cross multiply
    65,412x = 101,262 × 101,262
  4. Step 4: Simplify right side
    65,412x = 10,253,992,644
  5. Step 5: Solve for x
    x = 10,253,992,644/65,412
  6. Step 6: Final answer
    x = 156,760.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.