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Finding the Third Proportional to 67,327.14 and 97,876.79

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Solution

The third proportional to 67,327.14 and 97,876.79 is: 142,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,327.14 : 97,876.79 = 97,876.79 : x
  2. Step 2: Convert to fraction form
    67,327.14/97,876.79 = 97,876.79/x
  3. Step 3: Cross multiply
    67,327.14x = 97,876.79 × 97,876.79
  4. Step 4: Simplify right side
    67,327.14x = 9,579,866,601.85
  5. Step 5: Solve for x
    x = 9,579,866,601.85/67,327.14
  6. Step 6: Final answer
    x = 142,288.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.