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Finding the Third Proportional to 68,872.78 and 106,426.13

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Solution

The third proportional to 68,872.78 and 106,426.13 is: 164,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,872.78 : 106,426.13 = 106,426.13 : x
  2. Step 2: Convert to fraction form
    68,872.78/106,426.13 = 106,426.13/x
  3. Step 3: Cross multiply
    68,872.78x = 106,426.13 × 106,426.13
  4. Step 4: Simplify right side
    68,872.78x = 11,326,520,082.52
  5. Step 5: Solve for x
    x = 11,326,520,082.52/68,872.78
  6. Step 6: Final answer
    x = 164,455.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.