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Finding the Third Proportional to 137,158.31 and 195,759.28

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Solution

The third proportional to 137,158.31 and 195,759.28 is: 279,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,158.31 : 195,759.28 = 195,759.28 : x
  2. Step 2: Convert to fraction form
    137,158.31/195,759.28 = 195,759.28/x
  3. Step 3: Cross multiply
    137,158.31x = 195,759.28 × 195,759.28
  4. Step 4: Simplify right side
    137,158.31x = 38,321,696,195.52
  5. Step 5: Solve for x
    x = 38,321,696,195.52/137,158.31
  6. Step 6: Final answer
    x = 279,397.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.