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Finding the Third Proportional to 137,614.13 and 193,790.63

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Solution

The third proportional to 137,614.13 and 193,790.63 is: 272,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,614.13 : 193,790.63 = 193,790.63 : x
  2. Step 2: Convert to fraction form
    137,614.13/193,790.63 = 193,790.63/x
  3. Step 3: Cross multiply
    137,614.13x = 193,790.63 × 193,790.63
  4. Step 4: Simplify right side
    137,614.13x = 37,554,806,337.89
  5. Step 5: Solve for x
    x = 37,554,806,337.89/137,614.13
  6. Step 6: Final answer
    x = 272,899.36

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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.