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Finding the Third Proportional to 48,301 and 103,743

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Solution

The third proportional to 48,301 and 103,743 is: 222,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,301 : 103,743 = 103,743 : x
  2. Step 2: Convert to fraction form
    48,301/103,743 = 103,743/x
  3. Step 3: Cross multiply
    48,301x = 103,743 × 103,743
  4. Step 4: Simplify right side
    48,301x = 10,762,610,049
  5. Step 5: Solve for x
    x = 10,762,610,049/48,301
  6. Step 6: Final answer
    x = 222,823.75

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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.