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Finding the Third Proportional to 57,445 and 86,228

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Solution

The third proportional to 57,445 and 86,228 is: 129,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,445 : 86,228 = 86,228 : x
  2. Step 2: Convert to fraction form
    57,445/86,228 = 86,228/x
  3. Step 3: Cross multiply
    57,445x = 86,228 × 86,228
  4. Step 4: Simplify right side
    57,445x = 7,435,267,984
  5. Step 5: Solve for x
    x = 7,435,267,984/57,445
  6. Step 6: Final answer
    x = 129,432.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.