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Finding the Third Proportional to 60,219.50 and 89,456

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Solution

The third proportional to 60,219.50 and 89,456 is: 132,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,219.50 : 89,456 = 89,456 : x
  2. Step 2: Convert to fraction form
    60,219.50/89,456 = 89,456/x
  3. Step 3: Cross multiply
    60,219.50x = 89,456 × 89,456
  4. Step 4: Simplify right side
    60,219.50x = 8,002,375,936
  5. Step 5: Solve for x
    x = 8,002,375,936/60,219.50
  6. Step 6: Final answer
    x = 132,886.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.