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Finding the Third Proportional to 63,074 and 138,244

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Solution

The third proportional to 63,074 and 138,244 is: 302,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,074 : 138,244 = 138,244 : x
  2. Step 2: Convert to fraction form
    63,074/138,244 = 138,244/x
  3. Step 3: Cross multiply
    63,074x = 138,244 × 138,244
  4. Step 4: Simplify right side
    63,074x = 19,111,403,536
  5. Step 5: Solve for x
    x = 19,111,403,536/63,074
  6. Step 6: Final answer
    x = 302,999.71

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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.