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Finding the Third Proportional to 39,298 and 60,214

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Solution

The third proportional to 39,298 and 60,214 is: 92,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,298 : 60,214 = 60,214 : x
  2. Step 2: Convert to fraction form
    39,298/60,214 = 60,214/x
  3. Step 3: Cross multiply
    39,298x = 60,214 × 60,214
  4. Step 4: Simplify right side
    39,298x = 3,625,725,796
  5. Step 5: Solve for x
    x = 3,625,725,796/39,298
  6. Step 6: Final answer
    x = 92,262.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.