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Finding the Third Proportional to 57,193 and 86,210

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Solution

The third proportional to 57,193 and 86,210 is: 129,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,193 : 86,210 = 86,210 : x
  2. Step 2: Convert to fraction form
    57,193/86,210 = 86,210/x
  3. Step 3: Cross multiply
    57,193x = 86,210 × 86,210
  4. Step 4: Simplify right side
    57,193x = 7,432,164,100
  5. Step 5: Solve for x
    x = 7,432,164,100/57,193
  6. Step 6: Final answer
    x = 129,948.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.