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Finding the Third Proportional to 92,632 and 143,524

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Solution

The third proportional to 92,632 and 143,524 is: 222,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,632 : 143,524 = 143,524 : x
  2. Step 2: Convert to fraction form
    92,632/143,524 = 143,524/x
  3. Step 3: Cross multiply
    92,632x = 143,524 × 143,524
  4. Step 4: Simplify right side
    92,632x = 20,599,138,576
  5. Step 5: Solve for x
    x = 20,599,138,576/92,632
  6. Step 6: Final answer
    x = 222,376.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.