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Finding the Third Proportional to 57,414 and 87,336

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Solution

The third proportional to 57,414 and 87,336 is: 132,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,414 : 87,336 = 87,336 : x
  2. Step 2: Convert to fraction form
    57,414/87,336 = 87,336/x
  3. Step 3: Cross multiply
    57,414x = 87,336 × 87,336
  4. Step 4: Simplify right side
    57,414x = 7,627,576,896
  5. Step 5: Solve for x
    x = 7,627,576,896/57,414
  6. Step 6: Final answer
    x = 132,852.21

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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.