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Finding the Third Proportional to 43,214 and 70,564

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Solution

The third proportional to 43,214 and 70,564 is: 115,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,214 : 70,564 = 70,564 : x
  2. Step 2: Convert to fraction form
    43,214/70,564 = 70,564/x
  3. Step 3: Cross multiply
    43,214x = 70,564 × 70,564
  4. Step 4: Simplify right side
    43,214x = 4,979,278,096
  5. Step 5: Solve for x
    x = 4,979,278,096/43,214
  6. Step 6: Final answer
    x = 115,223.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.