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Finding the Third Proportional to 63,194 and 138,259

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Solution

The third proportional to 63,194 and 138,259 is: 302,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,194 : 138,259 = 138,259 : x
  2. Step 2: Convert to fraction form
    63,194/138,259 = 138,259/x
  3. Step 3: Cross multiply
    63,194x = 138,259 × 138,259
  4. Step 4: Simplify right side
    63,194x = 19,115,551,081
  5. Step 5: Solve for x
    x = 19,115,551,081/63,194
  6. Step 6: Final answer
    x = 302,489.97

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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.