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Finding the Third Proportional to 76,864 and 98,214

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Solution

The third proportional to 76,864 and 98,214 is: 125,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,864 : 98,214 = 98,214 : x
  2. Step 2: Convert to fraction form
    76,864/98,214 = 98,214/x
  3. Step 3: Cross multiply
    76,864x = 98,214 × 98,214
  4. Step 4: Simplify right side
    76,864x = 9,645,989,796
  5. Step 5: Solve for x
    x = 9,645,989,796/76,864
  6. Step 6: Final answer
    x = 125,494.25

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.