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Finding the Third Proportional to 48,058 and 73,908

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Solution

The third proportional to 48,058 and 73,908 is: 113,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,058 : 73,908 = 73,908 : x
  2. Step 2: Convert to fraction form
    48,058/73,908 = 73,908/x
  3. Step 3: Cross multiply
    48,058x = 73,908 × 73,908
  4. Step 4: Simplify right side
    48,058x = 5,462,392,464
  5. Step 5: Solve for x
    x = 5,462,392,464/48,058
  6. Step 6: Final answer
    x = 113,662.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.