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Finding the Third Proportional to 125,098 and 188,731

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Solution

The third proportional to 125,098 and 188,731 is: 284,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,098 : 188,731 = 188,731 : x
  2. Step 2: Convert to fraction form
    125,098/188,731 = 188,731/x
  3. Step 3: Cross multiply
    125,098x = 188,731 × 188,731
  4. Step 4: Simplify right side
    125,098x = 35,619,390,361
  5. Step 5: Solve for x
    x = 35,619,390,361/125,098
  6. Step 6: Final answer
    x = 284,731.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.