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Finding the Third Proportional to 89,427.80 and 125,331.05

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Solution

The third proportional to 89,427.80 and 125,331.05 is: 175,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,427.80 : 125,331.05 = 125,331.05 : x
  2. Step 2: Convert to fraction form
    89,427.80/125,331.05 = 125,331.05/x
  3. Step 3: Cross multiply
    89,427.80x = 125,331.05 × 125,331.05
  4. Step 4: Simplify right side
    89,427.80x = 15,707,871,310.78
  5. Step 5: Solve for x
    x = 15,707,871,310.78/89,427.80
  6. Step 6: Final answer
    x = 175,648.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.