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Finding the Third Proportional to 91,024 and 140,632

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Solution

The third proportional to 91,024 and 140,632 is: 217,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,024 : 140,632 = 140,632 : x
  2. Step 2: Convert to fraction form
    91,024/140,632 = 140,632/x
  3. Step 3: Cross multiply
    91,024x = 140,632 × 140,632
  4. Step 4: Simplify right side
    91,024x = 19,777,359,424
  5. Step 5: Solve for x
    x = 19,777,359,424/91,024
  6. Step 6: Final answer
    x = 217,276.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.