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Finding the Third Proportional to 69,103.13 and 97,761.94

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Solution

The third proportional to 69,103.13 and 97,761.94 is: 138,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,103.13 : 97,761.94 = 97,761.94 : x
  2. Step 2: Convert to fraction form
    69,103.13/97,761.94 = 97,761.94/x
  3. Step 3: Cross multiply
    69,103.13x = 97,761.94 × 97,761.94
  4. Step 4: Simplify right side
    69,103.13x = 9,557,396,423.75
  5. Step 5: Solve for x
    x = 9,557,396,423.75/69,103.13
  6. Step 6: Final answer
    x = 138,306.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.