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Finding the Third Proportional to 69,432.47 and 103,694.53

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Solution

The third proportional to 69,432.47 and 103,694.53 is: 154,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,432.47 : 103,694.53 = 103,694.53 : x
  2. Step 2: Convert to fraction form
    69,432.47/103,694.53 = 103,694.53/x
  3. Step 3: Cross multiply
    69,432.47x = 103,694.53 × 103,694.53
  4. Step 4: Simplify right side
    69,432.47x = 10,752,555,811.16
  5. Step 5: Solve for x
    x = 10,752,555,811.16/69,432.47
  6. Step 6: Final answer
    x = 154,863.51

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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.