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Finding the Third Proportional to 48,342.50 and 104,750

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Solution

The third proportional to 48,342.50 and 104,750 is: 226,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,342.50 : 104,750 = 104,750 : x
  2. Step 2: Convert to fraction form
    48,342.50/104,750 = 104,750/x
  3. Step 3: Cross multiply
    48,342.50x = 104,750 × 104,750
  4. Step 4: Simplify right side
    48,342.50x = 10,972,562,500
  5. Step 5: Solve for x
    x = 10,972,562,500/48,342.50
  6. Step 6: Final answer
    x = 226,975.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.