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Finding the Third Proportional to 125,298.75 and 193,930.13

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Solution

The third proportional to 125,298.75 and 193,930.13 is: 300,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,298.75 : 193,930.13 = 193,930.13 : x
  2. Step 2: Convert to fraction form
    125,298.75/193,930.13 = 193,930.13/x
  3. Step 3: Cross multiply
    125,298.75x = 193,930.13 × 193,930.13
  4. Step 4: Simplify right side
    125,298.75x = 37,608,893,382.52
  5. Step 5: Solve for x
    x = 37,608,893,382.52/125,298.75
  6. Step 6: Final answer
    x = 300,153.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.