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Finding the Third Proportional to 70,481 and 96,649

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Solution

The third proportional to 70,481 and 96,649 is: 132,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,481 : 96,649 = 96,649 : x
  2. Step 2: Convert to fraction form
    70,481/96,649 = 96,649/x
  3. Step 3: Cross multiply
    70,481x = 96,649 × 96,649
  4. Step 4: Simplify right side
    70,481x = 9,341,029,201
  5. Step 5: Solve for x
    x = 9,341,029,201/70,481
  6. Step 6: Final answer
    x = 132,532.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.