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Finding the Third Proportional to 48,532.50 and 103,812.75

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Solution

The third proportional to 48,532.50 and 103,812.75 is: 222,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,532.50 : 103,812.75 = 103,812.75 : x
  2. Step 2: Convert to fraction form
    48,532.50/103,812.75 = 103,812.75/x
  3. Step 3: Cross multiply
    48,532.50x = 103,812.75 × 103,812.75
  4. Step 4: Simplify right side
    48,532.50x = 10,777,087,062.56
  5. Step 5: Solve for x
    x = 10,777,087,062.56/48,532.50
  6. Step 6: Final answer
    x = 222,059.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.