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Finding the Third Proportional to 65,829 and 95,755.50

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Solution

The third proportional to 65,829 and 95,755.50 is: 139,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,829 : 95,755.50 = 95,755.50 : x
  2. Step 2: Convert to fraction form
    65,829/95,755.50 = 95,755.50/x
  3. Step 3: Cross multiply
    65,829x = 95,755.50 × 95,755.50
  4. Step 4: Simplify right side
    65,829x = 9,169,115,780.25
  5. Step 5: Solve for x
    x = 9,169,115,780.25/65,829
  6. Step 6: Final answer
    x = 139,286.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.