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Finding the Third Proportional to 60,632 and 124,268

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Solution

The third proportional to 60,632 and 124,268 is: 254,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,632 : 124,268 = 124,268 : x
  2. Step 2: Convert to fraction form
    60,632/124,268 = 124,268/x
  3. Step 3: Cross multiply
    60,632x = 124,268 × 124,268
  4. Step 4: Simplify right side
    60,632x = 15,442,535,824
  5. Step 5: Solve for x
    x = 15,442,535,824/60,632
  6. Step 6: Final answer
    x = 254,692.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.