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Finding the Third Proportional to 109,683 and 165,334

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Solution

The third proportional to 109,683 and 165,334 is: 249,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,683 : 165,334 = 165,334 : x
  2. Step 2: Convert to fraction form
    109,683/165,334 = 165,334/x
  3. Step 3: Cross multiply
    109,683x = 165,334 × 165,334
  4. Step 4: Simplify right side
    109,683x = 27,335,331,556
  5. Step 5: Solve for x
    x = 27,335,331,556/109,683
  6. Step 6: Final answer
    x = 249,221.22

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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.