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Finding the Third Proportional to 124,890 and 187,339

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Solution

The third proportional to 124,890 and 187,339 is: 281,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,890 : 187,339 = 187,339 : x
  2. Step 2: Convert to fraction form
    124,890/187,339 = 187,339/x
  3. Step 3: Cross multiply
    124,890x = 187,339 × 187,339
  4. Step 4: Simplify right side
    124,890x = 35,095,900,921
  5. Step 5: Solve for x
    x = 35,095,900,921/124,890
  6. Step 6: Final answer
    x = 281,014.50

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Why These Related Problems?

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