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Finding the Third Proportional to 48,762 and 72,873

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Solution

The third proportional to 48,762 and 72,873 is: 108,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,762 : 72,873 = 72,873 : x
  2. Step 2: Convert to fraction form
    48,762/72,873 = 72,873/x
  3. Step 3: Cross multiply
    48,762x = 72,873 × 72,873
  4. Step 4: Simplify right side
    48,762x = 5,310,474,129
  5. Step 5: Solve for x
    x = 5,310,474,129/48,762
  6. Step 6: Final answer
    x = 108,906.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.