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Finding the Third Proportional to 49,377 and 108,129

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Solution

The third proportional to 49,377 and 108,129 is: 236,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,377 : 108,129 = 108,129 : x
  2. Step 2: Convert to fraction form
    49,377/108,129 = 108,129/x
  3. Step 3: Cross multiply
    49,377x = 108,129 × 108,129
  4. Step 4: Simplify right side
    49,377x = 11,691,880,641
  5. Step 5: Solve for x
    x = 11,691,880,641/49,377
  6. Step 6: Final answer
    x = 236,787.99

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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.