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Finding the Third Proportional to 109,765.13 and 165,512.25

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Solution

The third proportional to 109,765.13 and 165,512.25 is: 249,572.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765.13 : 165,512.25 = 165,512.25 : x
  2. Step 2: Convert to fraction form
    109,765.13/165,512.25 = 165,512.25/x
  3. Step 3: Cross multiply
    109,765.13x = 165,512.25 × 165,512.25
  4. Step 4: Simplify right side
    109,765.13x = 27,394,304,900.06
  5. Step 5: Solve for x
    x = 27,394,304,900.06/109,765.13
  6. Step 6: Final answer
    x = 249,572.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.