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Finding the Third Proportional to 109,690 and 165,344

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Solution

The third proportional to 109,690 and 165,344 is: 249,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690 : 165,344 = 165,344 : x
  2. Step 2: Convert to fraction form
    109,690/165,344 = 165,344/x
  3. Step 3: Cross multiply
    109,690x = 165,344 × 165,344
  4. Step 4: Simplify right side
    109,690x = 27,338,638,336
  5. Step 5: Solve for x
    x = 27,338,638,336/109,690
  6. Step 6: Final answer
    x = 249,235.47

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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.