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Finding the Third Proportional to 125,217 and 187,789

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Solution

The third proportional to 125,217 and 187,789 is: 281,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,217 : 187,789 = 187,789 : x
  2. Step 2: Convert to fraction form
    125,217/187,789 = 187,789/x
  3. Step 3: Cross multiply
    125,217x = 187,789 × 187,789
  4. Step 4: Simplify right side
    125,217x = 35,264,708,521
  5. Step 5: Solve for x
    x = 35,264,708,521/125,217
  6. Step 6: Final answer
    x = 281,628.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.