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Finding the Third Proportional to 107,759 and 235,581

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Solution

The third proportional to 107,759 and 235,581 is: 515,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,759 : 235,581 = 235,581 : x
  2. Step 2: Convert to fraction form
    107,759/235,581 = 235,581/x
  3. Step 3: Cross multiply
    107,759x = 235,581 × 235,581
  4. Step 4: Simplify right side
    107,759x = 55,498,407,561
  5. Step 5: Solve for x
    x = 55,498,407,561/107,759
  6. Step 6: Final answer
    x = 515,023.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.