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Finding the Third Proportional to 91,380 and 143,226

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Solution

The third proportional to 91,380 and 143,226 is: 224,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,380 : 143,226 = 143,226 : x
  2. Step 2: Convert to fraction form
    91,380/143,226 = 143,226/x
  3. Step 3: Cross multiply
    91,380x = 143,226 × 143,226
  4. Step 4: Simplify right side
    91,380x = 20,513,687,076
  5. Step 5: Solve for x
    x = 20,513,687,076/91,380
  6. Step 6: Final answer
    x = 224,487.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.