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Finding the Third Proportional to 63,936 and 137,280

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Solution

The third proportional to 63,936 and 137,280 is: 294,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,936 : 137,280 = 137,280 : x
  2. Step 2: Convert to fraction form
    63,936/137,280 = 137,280/x
  3. Step 3: Cross multiply
    63,936x = 137,280 × 137,280
  4. Step 4: Simplify right side
    63,936x = 18,845,798,400
  5. Step 5: Solve for x
    x = 18,845,798,400/63,936
  6. Step 6: Final answer
    x = 294,760.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.