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Finding the Third Proportional to 68,999.72 and 101,227.78

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Solution

The third proportional to 68,999.72 and 101,227.78 is: 148,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,999.72 : 101,227.78 = 101,227.78 : x
  2. Step 2: Convert to fraction form
    68,999.72/101,227.78 = 101,227.78/x
  3. Step 3: Cross multiply
    68,999.72x = 101,227.78 × 101,227.78
  4. Step 4: Simplify right side
    68,999.72x = 10,247,063,696.80
  5. Step 5: Solve for x
    x = 10,247,063,696.80/68,999.72
  6. Step 6: Final answer
    x = 148,508.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.