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Finding the Third Proportional to 88,182 and 133,068

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Solution

The third proportional to 88,182 and 133,068 is: 200,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,182 : 133,068 = 133,068 : x
  2. Step 2: Convert to fraction form
    88,182/133,068 = 133,068/x
  3. Step 3: Cross multiply
    88,182x = 133,068 × 133,068
  4. Step 4: Simplify right side
    88,182x = 17,707,092,624
  5. Step 5: Solve for x
    x = 17,707,092,624/88,182
  6. Step 6: Final answer
    x = 200,801.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.