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Finding the Third Proportional to 124,780 and 270,581

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Solution

The third proportional to 124,780 and 270,581 is: 586,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,780 : 270,581 = 270,581 : x
  2. Step 2: Convert to fraction form
    124,780/270,581 = 270,581/x
  3. Step 3: Cross multiply
    124,780x = 270,581 × 270,581
  4. Step 4: Simplify right side
    124,780x = 73,214,077,561
  5. Step 5: Solve for x
    x = 73,214,077,561/124,780
  6. Step 6: Final answer
    x = 586,745.29

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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.