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Finding the Third Proportional to 63,138 and 136,116

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Solution

The third proportional to 63,138 and 136,116 is: 293,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,138 : 136,116 = 136,116 : x
  2. Step 2: Convert to fraction form
    63,138/136,116 = 136,116/x
  3. Step 3: Cross multiply
    63,138x = 136,116 × 136,116
  4. Step 4: Simplify right side
    63,138x = 18,527,565,456
  5. Step 5: Solve for x
    x = 18,527,565,456/63,138
  6. Step 6: Final answer
    x = 293,445.56

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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.