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Finding the Third Proportional to 60,418 and 87,027

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Solution

The third proportional to 60,418 and 87,027 is: 125,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,418 : 87,027 = 87,027 : x
  2. Step 2: Convert to fraction form
    60,418/87,027 = 87,027/x
  3. Step 3: Cross multiply
    60,418x = 87,027 × 87,027
  4. Step 4: Simplify right side
    60,418x = 7,573,698,729
  5. Step 5: Solve for x
    x = 7,573,698,729/60,418
  6. Step 6: Final answer
    x = 125,355.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.