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Finding the Third Proportional to 43,217 and 89,434

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Solution

The third proportional to 43,217 and 89,434 is: 185,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,217 : 89,434 = 89,434 : x
  2. Step 2: Convert to fraction form
    43,217/89,434 = 89,434/x
  3. Step 3: Cross multiply
    43,217x = 89,434 × 89,434
  4. Step 4: Simplify right side
    43,217x = 7,998,440,356
  5. Step 5: Solve for x
    x = 7,998,440,356/43,217
  6. Step 6: Final answer
    x = 185,076.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.