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Finding the Third Proportional to 48,658.50 and 103,592.25

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Solution

The third proportional to 48,658.50 and 103,592.25 is: 220,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,658.50 : 103,592.25 = 103,592.25 : x
  2. Step 2: Convert to fraction form
    48,658.50/103,592.25 = 103,592.25/x
  3. Step 3: Cross multiply
    48,658.50x = 103,592.25 × 103,592.25
  4. Step 4: Simplify right side
    48,658.50x = 10,731,354,260.06
  5. Step 5: Solve for x
    x = 10,731,354,260.06/48,658.50
  6. Step 6: Final answer
    x = 220,544.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.