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Finding the Third Proportional to 137,637.38 and 193,822.13

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Solution

The third proportional to 137,637.38 and 193,822.13 is: 272,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,637.38 : 193,822.13 = 193,822.13 : x
  2. Step 2: Convert to fraction form
    137,637.38/193,822.13 = 193,822.13/x
  3. Step 3: Cross multiply
    137,637.38x = 193,822.13 × 193,822.13
  4. Step 4: Simplify right side
    137,637.38x = 37,567,016,139.52
  5. Step 5: Solve for x
    x = 37,567,016,139.52/137,637.38
  6. Step 6: Final answer
    x = 272,941.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.