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Finding the Third Proportional to 48,363.50 and 102,954.50

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Solution

The third proportional to 48,363.50 and 102,954.50 is: 219,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,363.50 : 102,954.50 = 102,954.50 : x
  2. Step 2: Convert to fraction form
    48,363.50/102,954.50 = 102,954.50/x
  3. Step 3: Cross multiply
    48,363.50x = 102,954.50 × 102,954.50
  4. Step 4: Simplify right side
    48,363.50x = 10,599,629,070.25
  5. Step 5: Solve for x
    x = 10,599,629,070.25/48,363.50
  6. Step 6: Final answer
    x = 219,165.88

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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.