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Finding the Third Proportional to 107,712 and 234,742

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Solution

The third proportional to 107,712 and 234,742 is: 511,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,712 : 234,742 = 234,742 : x
  2. Step 2: Convert to fraction form
    107,712/234,742 = 234,742/x
  3. Step 3: Cross multiply
    107,712x = 234,742 × 234,742
  4. Step 4: Simplify right side
    107,712x = 55,103,806,564
  5. Step 5: Solve for x
    x = 55,103,806,564/107,712
  6. Step 6: Final answer
    x = 511,584.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.