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Finding the Third Proportional to 124,722 and 186,591

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Solution

The third proportional to 124,722 and 186,591 is: 279,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,722 : 186,591 = 186,591 : x
  2. Step 2: Convert to fraction form
    124,722/186,591 = 186,591/x
  3. Step 3: Cross multiply
    124,722x = 186,591 × 186,591
  4. Step 4: Simplify right side
    124,722x = 34,816,201,281
  5. Step 5: Solve for x
    x = 34,816,201,281/124,722
  6. Step 6: Final answer
    x = 279,150.44

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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.