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Finding the Third Proportional to 49,787.50 and 107,525

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Solution

The third proportional to 49,787.50 and 107,525 is: 232,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,787.50 : 107,525 = 107,525 : x
  2. Step 2: Convert to fraction form
    49,787.50/107,525 = 107,525/x
  3. Step 3: Cross multiply
    49,787.50x = 107,525 × 107,525
  4. Step 4: Simplify right side
    49,787.50x = 11,561,625,625
  5. Step 5: Solve for x
    x = 11,561,625,625/49,787.50
  6. Step 6: Final answer
    x = 232,219.45

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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.