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Finding the Third Proportional to 42,300.56 and 90,132.75

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Solution

The third proportional to 42,300.56 and 90,132.75 is: 192,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,300.56 : 90,132.75 = 90,132.75 : x
  2. Step 2: Convert to fraction form
    42,300.56/90,132.75 = 90,132.75/x
  3. Step 3: Cross multiply
    42,300.56x = 90,132.75 × 90,132.75
  4. Step 4: Simplify right side
    42,300.56x = 8,123,912,622.56
  5. Step 5: Solve for x
    x = 8,123,912,622.56/42,300.56
  6. Step 6: Final answer
    x = 192,052.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.