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Finding the Third Proportional to 89,248 and 143,493

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Solution

The third proportional to 89,248 and 143,493 is: 230,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,248 : 143,493 = 143,493 : x
  2. Step 2: Convert to fraction form
    89,248/143,493 = 143,493/x
  3. Step 3: Cross multiply
    89,248x = 143,493 × 143,493
  4. Step 4: Simplify right side
    89,248x = 20,590,241,049
  5. Step 5: Solve for x
    x = 20,590,241,049/89,248
  6. Step 6: Final answer
    x = 230,708.15

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.