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Finding the Third Proportional to 69,291 and 96,540

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Solution

The third proportional to 69,291 and 96,540 is: 134,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,291 : 96,540 = 96,540 : x
  2. Step 2: Convert to fraction form
    69,291/96,540 = 96,540/x
  3. Step 3: Cross multiply
    69,291x = 96,540 × 96,540
  4. Step 4: Simplify right side
    69,291x = 9,319,971,600
  5. Step 5: Solve for x
    x = 9,319,971,600/69,291
  6. Step 6: Final answer
    x = 134,504.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.