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Finding the Third Proportional to 63,171.75 and 136,184.25

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Solution

The third proportional to 63,171.75 and 136,184.25 is: 293,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,171.75 : 136,184.25 = 136,184.25 : x
  2. Step 2: Convert to fraction form
    63,171.75/136,184.25 = 136,184.25/x
  3. Step 3: Cross multiply
    63,171.75x = 136,184.25 × 136,184.25
  4. Step 4: Simplify right side
    63,171.75x = 18,546,149,948.06
  5. Step 5: Solve for x
    x = 18,546,149,948.06/63,171.75
  6. Step 6: Final answer
    x = 293,582.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.