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Finding the Third Proportional to 96,738 and 129,020

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Solution

The third proportional to 96,738 and 129,020 is: 172,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,738 : 129,020 = 129,020 : x
  2. Step 2: Convert to fraction form
    96,738/129,020 = 129,020/x
  3. Step 3: Cross multiply
    96,738x = 129,020 × 129,020
  4. Step 4: Simplify right side
    96,738x = 16,646,160,400
  5. Step 5: Solve for x
    x = 16,646,160,400/96,738
  6. Step 6: Final answer
    x = 172,074.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.