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Finding the Third Proportional to 124,524 and 186,913

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Solution

The third proportional to 124,524 and 186,913 is: 280,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,524 : 186,913 = 186,913 : x
  2. Step 2: Convert to fraction form
    124,524/186,913 = 186,913/x
  3. Step 3: Cross multiply
    124,524x = 186,913 × 186,913
  4. Step 4: Simplify right side
    124,524x = 34,936,469,569
  5. Step 5: Solve for x
    x = 34,936,469,569/124,524
  6. Step 6: Final answer
    x = 280,560.13

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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.