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Finding the Third Proportional to 42,049.50 and 89,549

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Solution

The third proportional to 42,049.50 and 89,549 is: 190,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,049.50 : 89,549 = 89,549 : x
  2. Step 2: Convert to fraction form
    42,049.50/89,549 = 89,549/x
  3. Step 3: Cross multiply
    42,049.50x = 89,549 × 89,549
  4. Step 4: Simplify right side
    42,049.50x = 8,019,023,401
  5. Step 5: Solve for x
    x = 8,019,023,401/42,049.50
  6. Step 6: Final answer
    x = 190,704.37

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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.