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Finding the Third Proportional to 48,626 and 76,899

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Solution

The third proportional to 48,626 and 76,899 is: 121,610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,626 : 76,899 = 76,899 : x
  2. Step 2: Convert to fraction form
    48,626/76,899 = 76,899/x
  3. Step 3: Cross multiply
    48,626x = 76,899 × 76,899
  4. Step 4: Simplify right side
    48,626x = 5,913,456,201
  5. Step 5: Solve for x
    x = 5,913,456,201/48,626
  6. Step 6: Final answer
    x = 121,610.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.