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Finding the Third Proportional to 106,877.25 and 169,228.13

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Solution

The third proportional to 106,877.25 and 169,228.13 is: 267,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,877.25 : 169,228.13 = 169,228.13 : x
  2. Step 2: Convert to fraction form
    106,877.25/169,228.13 = 169,228.13/x
  3. Step 3: Cross multiply
    106,877.25x = 169,228.13 × 169,228.13
  4. Step 4: Simplify right side
    106,877.25x = 28,638,158,291.02
  5. Step 5: Solve for x
    x = 28,638,158,291.02/106,877.25
  6. Step 6: Final answer
    x = 267,953.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.