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Finding the Third Proportional to 69,839.25 and 108,118.13

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Solution

The third proportional to 69,839.25 and 108,118.13 is: 167,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,839.25 : 108,118.13 = 108,118.13 : x
  2. Step 2: Convert to fraction form
    69,839.25/108,118.13 = 108,118.13/x
  3. Step 3: Cross multiply
    69,839.25x = 108,118.13 × 108,118.13
  4. Step 4: Simplify right side
    69,839.25x = 11,689,528,953.52
  5. Step 5: Solve for x
    x = 11,689,528,953.52/69,839.25
  6. Step 6: Final answer
    x = 167,377.64

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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.