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Finding the Third Proportional to 109,674 and 165,324

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Solution

The third proportional to 109,674 and 165,324 is: 249,211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,674 : 165,324 = 165,324 : x
  2. Step 2: Convert to fraction form
    109,674/165,324 = 165,324/x
  3. Step 3: Cross multiply
    109,674x = 165,324 × 165,324
  4. Step 4: Simplify right side
    109,674x = 27,332,024,976
  5. Step 5: Solve for x
    x = 27,332,024,976/109,674
  6. Step 6: Final answer
    x = 249,211.53

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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.