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Finding the Third Proportional to 88,233 and 132,549

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Solution

The third proportional to 88,233 and 132,549 is: 199,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,233 : 132,549 = 132,549 : x
  2. Step 2: Convert to fraction form
    88,233/132,549 = 132,549/x
  3. Step 3: Cross multiply
    88,233x = 132,549 × 132,549
  4. Step 4: Simplify right side
    88,233x = 17,569,237,401
  5. Step 5: Solve for x
    x = 17,569,237,401/88,233
  6. Step 6: Final answer
    x = 199,123.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.