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Finding the Third Proportional to 100,342.13 and 137,596.31

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Solution

The third proportional to 100,342.13 and 137,596.31 is: 188,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,342.13 : 137,596.31 = 137,596.31 : x
  2. Step 2: Convert to fraction form
    100,342.13/137,596.31 = 137,596.31/x
  3. Step 3: Cross multiply
    100,342.13x = 137,596.31 × 137,596.31
  4. Step 4: Simplify right side
    100,342.13x = 18,932,745,213.60
  5. Step 5: Solve for x
    x = 18,932,745,213.60/100,342.13
  6. Step 6: Final answer
    x = 188,681.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.