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Finding the Third Proportional to 109,655.06 and 165,292.69

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Solution

The third proportional to 109,655.06 and 165,292.69 is: 249,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,655.06 : 165,292.69 = 165,292.69 : x
  2. Step 2: Convert to fraction form
    109,655.06/165,292.69 = 165,292.69/x
  3. Step 3: Cross multiply
    109,655.06x = 165,292.69 × 165,292.69
  4. Step 4: Simplify right side
    109,655.06x = 27,321,672,540.97
  5. Step 5: Solve for x
    x = 27,321,672,540.97/109,655.06
  6. Step 6: Final answer
    x = 249,160.16

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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.