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Finding the Third Proportional to 65,446 and 101,125

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Solution

The third proportional to 65,446 and 101,125 is: 156,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,446 : 101,125 = 101,125 : x
  2. Step 2: Convert to fraction form
    65,446/101,125 = 101,125/x
  3. Step 3: Cross multiply
    65,446x = 101,125 × 101,125
  4. Step 4: Simplify right side
    65,446x = 10,226,265,625
  5. Step 5: Solve for x
    x = 10,226,265,625/65,446
  6. Step 6: Final answer
    x = 156,255.01

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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.