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Finding the Third Proportional to 48,799.50 and 106,523

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Solution

The third proportional to 48,799.50 and 106,523 is: 232,525.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,799.50 : 106,523 = 106,523 : x
  2. Step 2: Convert to fraction form
    48,799.50/106,523 = 106,523/x
  3. Step 3: Cross multiply
    48,799.50x = 106,523 × 106,523
  4. Step 4: Simplify right side
    48,799.50x = 11,347,149,529
  5. Step 5: Solve for x
    x = 11,347,149,529/48,799.50
  6. Step 6: Final answer
    x = 232,525.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.