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Finding the Third Proportional to 63,118.25 and 136,966

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Solution

The third proportional to 63,118.25 and 136,966 is: 297,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,118.25 : 136,966 = 136,966 : x
  2. Step 2: Convert to fraction form
    63,118.25/136,966 = 136,966/x
  3. Step 3: Cross multiply
    63,118.25x = 136,966 × 136,966
  4. Step 4: Simplify right side
    63,118.25x = 18,759,685,156
  5. Step 5: Solve for x
    x = 18,759,685,156/63,118.25
  6. Step 6: Final answer
    x = 297,214.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.