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Finding the Third Proportional to 63,159 and 136,337

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Solution

The third proportional to 63,159 and 136,337 is: 294,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,159 : 136,337 = 136,337 : x
  2. Step 2: Convert to fraction form
    63,159/136,337 = 136,337/x
  3. Step 3: Cross multiply
    63,159x = 136,337 × 136,337
  4. Step 4: Simplify right side
    63,159x = 18,587,777,569
  5. Step 5: Solve for x
    x = 18,587,777,569/63,159
  6. Step 6: Final answer
    x = 294,301.33

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