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Finding the Third Proportional to 60,486 and 121,214

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Solution

The third proportional to 60,486 and 121,214 is: 242,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,486 : 121,214 = 121,214 : x
  2. Step 2: Convert to fraction form
    60,486/121,214 = 121,214/x
  3. Step 3: Cross multiply
    60,486x = 121,214 × 121,214
  4. Step 4: Simplify right side
    60,486x = 14,692,833,796
  5. Step 5: Solve for x
    x = 14,692,833,796/60,486
  6. Step 6: Final answer
    x = 242,912.97

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.