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Finding the Third Proportional to 109,760.06 and 165,505.78

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Solution

The third proportional to 109,760.06 and 165,505.78 is: 249,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,760.06 : 165,505.78 = 165,505.78 : x
  2. Step 2: Convert to fraction form
    109,760.06/165,505.78 = 165,505.78/x
  3. Step 3: Cross multiply
    109,760.06x = 165,505.78 × 165,505.78
  4. Step 4: Simplify right side
    109,760.06x = 27,392,163,627.17
  5. Step 5: Solve for x
    x = 27,392,163,627.17/109,760.06
  6. Step 6: Final answer
    x = 249,564.03

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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.