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Finding the Third Proportional to 57,864 and 120,334

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Solution

The third proportional to 57,864 and 120,334 is: 250,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,864 : 120,334 = 120,334 : x
  2. Step 2: Convert to fraction form
    57,864/120,334 = 120,334/x
  3. Step 3: Cross multiply
    57,864x = 120,334 × 120,334
  4. Step 4: Simplify right side
    57,864x = 14,480,271,556
  5. Step 5: Solve for x
    x = 14,480,271,556/57,864
  6. Step 6: Final answer
    x = 250,246.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.