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Finding the Third Proportional to 89,248 and 131,414

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Solution

The third proportional to 89,248 and 131,414 is: 193,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,248 : 131,414 = 131,414 : x
  2. Step 2: Convert to fraction form
    89,248/131,414 = 131,414/x
  3. Step 3: Cross multiply
    89,248x = 131,414 × 131,414
  4. Step 4: Simplify right side
    89,248x = 17,269,639,396
  5. Step 5: Solve for x
    x = 17,269,639,396/89,248
  6. Step 6: Final answer
    x = 193,501.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.