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Finding the Third Proportional to 48,236 and 73,743

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Solution

The third proportional to 48,236 and 73,743 is: 112,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,236 : 73,743 = 73,743 : x
  2. Step 2: Convert to fraction form
    48,236/73,743 = 73,743/x
  3. Step 3: Cross multiply
    48,236x = 73,743 × 73,743
  4. Step 4: Simplify right side
    48,236x = 5,438,030,049
  5. Step 5: Solve for x
    x = 5,438,030,049/48,236
  6. Step 6: Final answer
    x = 112,738.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.