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Finding the Third Proportional to 109,654.69 and 165,292.03

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Solution

The third proportional to 109,654.69 and 165,292.03 is: 249,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,654.69 : 165,292.03 = 165,292.03 : x
  2. Step 2: Convert to fraction form
    109,654.69/165,292.03 = 165,292.03/x
  3. Step 3: Cross multiply
    109,654.69x = 165,292.03 × 165,292.03
  4. Step 4: Simplify right side
    109,654.69x = 27,321,455,594.75
  5. Step 5: Solve for x
    x = 27,321,455,594.75/109,654.69
  6. Step 6: Final answer
    x = 249,159.03

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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.