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Finding the Third Proportional to 96,778 and 149,539

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Solution

The third proportional to 96,778 and 149,539 is: 231,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,778 : 149,539 = 149,539 : x
  2. Step 2: Convert to fraction form
    96,778/149,539 = 149,539/x
  3. Step 3: Cross multiply
    96,778x = 149,539 × 149,539
  4. Step 4: Simplify right side
    96,778x = 22,361,912,521
  5. Step 5: Solve for x
    x = 22,361,912,521/96,778
  6. Step 6: Final answer
    x = 231,064.01

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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.