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Finding the Third Proportional to 124,780 and 266,150

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Solution

The third proportional to 124,780 and 266,150 is: 567,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,780 : 266,150 = 266,150 : x
  2. Step 2: Convert to fraction form
    124,780/266,150 = 266,150/x
  3. Step 3: Cross multiply
    124,780x = 266,150 × 266,150
  4. Step 4: Simplify right side
    124,780x = 70,835,822,500
  5. Step 5: Solve for x
    x = 70,835,822,500/124,780
  6. Step 6: Final answer
    x = 567,685.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.