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Finding the Third Proportional to 69,452.16 and 103,720.92

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Solution

The third proportional to 69,452.16 and 103,720.92 is: 154,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,452.16 : 103,720.92 = 103,720.92 : x
  2. Step 2: Convert to fraction form
    69,452.16/103,720.92 = 103,720.92/x
  3. Step 3: Cross multiply
    69,452.16x = 103,720.92 × 103,720.92
  4. Step 4: Simplify right side
    69,452.16x = 10,758,029,634.60
  5. Step 5: Solve for x
    x = 10,758,029,634.60/69,452.16
  6. Step 6: Final answer
    x = 154,898.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.