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Finding the Third Proportional to 57,492 and 87,210

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Solution

The third proportional to 57,492 and 87,210 is: 132,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,492 : 87,210 = 87,210 : x
  2. Step 2: Convert to fraction form
    57,492/87,210 = 87,210/x
  3. Step 3: Cross multiply
    57,492x = 87,210 × 87,210
  4. Step 4: Simplify right side
    57,492x = 7,605,584,100
  5. Step 5: Solve for x
    x = 7,605,584,100/57,492
  6. Step 6: Final answer
    x = 132,289.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.