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Finding the Third Proportional to 45,177.75 and 68,100.75

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Solution

The third proportional to 45,177.75 and 68,100.75 is: 102,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,177.75 : 68,100.75 = 68,100.75 : x
  2. Step 2: Convert to fraction form
    45,177.75/68,100.75 = 68,100.75/x
  3. Step 3: Cross multiply
    45,177.75x = 68,100.75 × 68,100.75
  4. Step 4: Simplify right side
    45,177.75x = 4,637,712,150.56
  5. Step 5: Solve for x
    x = 4,637,712,150.56/45,177.75
  6. Step 6: Final answer
    x = 102,654.78

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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.