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Finding the Third Proportional to 109,666 and 165,309

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Solution

The third proportional to 109,666 and 165,309 is: 249,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,666 : 165,309 = 165,309 : x
  2. Step 2: Convert to fraction form
    109,666/165,309 = 165,309/x
  3. Step 3: Cross multiply
    109,666x = 165,309 × 165,309
  4. Step 4: Simplify right side
    109,666x = 27,327,065,481
  5. Step 5: Solve for x
    x = 27,327,065,481/109,666
  6. Step 6: Final answer
    x = 249,184.48

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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.