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Finding the Third Proportional to 124,579.27 and 186,982.80

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Solution

The third proportional to 124,579.27 and 186,982.80 is: 280,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,579.27 : 186,982.80 = 186,982.80 : x
  2. Step 2: Convert to fraction form
    124,579.27/186,982.80 = 186,982.80/x
  3. Step 3: Cross multiply
    124,579.27x = 186,982.80 × 186,982.80
  4. Step 4: Simplify right side
    124,579.27x = 34,962,569,248.80
  5. Step 5: Solve for x
    x = 34,962,569,248.80/124,579.27
  6. Step 6: Final answer
    x = 280,645.17

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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.