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Finding the Third Proportional to 109,649.25 and 165,283.88

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Solution

The third proportional to 109,649.25 and 165,283.88 is: 249,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,649.25 : 165,283.88 = 165,283.88 : x
  2. Step 2: Convert to fraction form
    109,649.25/165,283.88 = 165,283.88/x
  3. Step 3: Cross multiply
    109,649.25x = 165,283.88 × 165,283.88
  4. Step 4: Simplify right side
    109,649.25x = 27,318,759,335.02
  5. Step 5: Solve for x
    x = 27,318,759,335.02/109,649.25
  6. Step 6: Final answer
    x = 249,146.80

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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.