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Finding the Third Proportional to 82,944 and 124,632

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Solution

The third proportional to 82,944 and 124,632 is: 187,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,944 : 124,632 = 124,632 : x
  2. Step 2: Convert to fraction form
    82,944/124,632 = 124,632/x
  3. Step 3: Cross multiply
    82,944x = 124,632 × 124,632
  4. Step 4: Simplify right side
    82,944x = 15,533,135,424
  5. Step 5: Solve for x
    x = 15,533,135,424/82,944
  6. Step 6: Final answer
    x = 187,272.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.