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Finding the Third Proportional to 41,152 and 88,549

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Solution

The third proportional to 41,152 and 88,549 is: 190,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,152 : 88,549 = 88,549 : x
  2. Step 2: Convert to fraction form
    41,152/88,549 = 88,549/x
  3. Step 3: Cross multiply
    41,152x = 88,549 × 88,549
  4. Step 4: Simplify right side
    41,152x = 7,840,925,401
  5. Step 5: Solve for x
    x = 7,840,925,401/41,152
  6. Step 6: Final answer
    x = 190,535.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.