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Finding the Third Proportional to 63,180 and 124,578

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Solution

The third proportional to 63,180 and 124,578 is: 245,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,180 : 124,578 = 124,578 : x
  2. Step 2: Convert to fraction form
    63,180/124,578 = 124,578/x
  3. Step 3: Cross multiply
    63,180x = 124,578 × 124,578
  4. Step 4: Simplify right side
    63,180x = 15,519,678,084
  5. Step 5: Solve for x
    x = 15,519,678,084/63,180
  6. Step 6: Final answer
    x = 245,642.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.