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Finding the Third Proportional to 131,123.38 and 195,875.75

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Solution

The third proportional to 131,123.38 and 195,875.75 is: 292,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,123.38 : 195,875.75 = 195,875.75 : x
  2. Step 2: Convert to fraction form
    131,123.38/195,875.75 = 195,875.75/x
  3. Step 3: Cross multiply
    131,123.38x = 195,875.75 × 195,875.75
  4. Step 4: Simplify right side
    131,123.38x = 38,367,309,438.06
  5. Step 5: Solve for x
    x = 38,367,309,438.06/131,123.38
  6. Step 6: Final answer
    x = 292,604.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.