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Finding the Third Proportional to 124,750.13 and 137,689.88

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Solution

The third proportional to 124,750.13 and 137,689.88 is: 151,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,750.13 : 137,689.88 = 137,689.88 : x
  2. Step 2: Convert to fraction form
    124,750.13/137,689.88 = 137,689.88/x
  3. Step 3: Cross multiply
    124,750.13x = 137,689.88 × 137,689.88
  4. Step 4: Simplify right side
    124,750.13x = 18,958,501,677.52
  5. Step 5: Solve for x
    x = 18,958,501,677.52/124,750.13
  6. Step 6: Final answer
    x = 151,971.81

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.