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Finding the Third Proportional to 124,770 and 270,559

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Solution

The third proportional to 124,770 and 270,559 is: 586,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,770 : 270,559 = 270,559 : x
  2. Step 2: Convert to fraction form
    124,770/270,559 = 270,559/x
  3. Step 3: Cross multiply
    124,770x = 270,559 × 270,559
  4. Step 4: Simplify right side
    124,770x = 73,202,172,481
  5. Step 5: Solve for x
    x = 73,202,172,481/124,770
  6. Step 6: Final answer
    x = 586,696.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.