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Finding the Third Proportional to 90,323 and 127,082

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Solution

The third proportional to 90,323 and 127,082 is: 178,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,323 : 127,082 = 127,082 : x
  2. Step 2: Convert to fraction form
    90,323/127,082 = 127,082/x
  3. Step 3: Cross multiply
    90,323x = 127,082 × 127,082
  4. Step 4: Simplify right side
    90,323x = 16,149,834,724
  5. Step 5: Solve for x
    x = 16,149,834,724/90,323
  6. Step 6: Final answer
    x = 178,800.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.