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Finding the Third Proportional to 48,158.25 and 102,993.75

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Solution

The third proportional to 48,158.25 and 102,993.75 is: 220,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,158.25 : 102,993.75 = 102,993.75 : x
  2. Step 2: Convert to fraction form
    48,158.25/102,993.75 = 102,993.75/x
  3. Step 3: Cross multiply
    48,158.25x = 102,993.75 × 102,993.75
  4. Step 4: Simplify right side
    48,158.25x = 10,607,712,539.06
  5. Step 5: Solve for x
    x = 10,607,712,539.06/48,158.25
  6. Step 6: Final answer
    x = 220,267.82

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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.