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Finding the Third Proportional to 63,180 and 138,240

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Solution

The third proportional to 63,180 and 138,240 is: 302,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,180 : 138,240 = 138,240 : x
  2. Step 2: Convert to fraction form
    63,180/138,240 = 138,240/x
  3. Step 3: Cross multiply
    63,180x = 138,240 × 138,240
  4. Step 4: Simplify right side
    63,180x = 19,110,297,600
  5. Step 5: Solve for x
    x = 19,110,297,600/63,180
  6. Step 6: Final answer
    x = 302,473.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.