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Finding the Third Proportional to 48,073 and 103,250

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Solution

The third proportional to 48,073 and 103,250 is: 221,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,073 : 103,250 = 103,250 : x
  2. Step 2: Convert to fraction form
    48,073/103,250 = 103,250/x
  3. Step 3: Cross multiply
    48,073x = 103,250 × 103,250
  4. Step 4: Simplify right side
    48,073x = 10,660,562,500
  5. Step 5: Solve for x
    x = 10,660,562,500/48,073
  6. Step 6: Final answer
    x = 221,757.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.