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Finding the Third Proportional to 42,532 and 91,564

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Solution

The third proportional to 42,532 and 91,564 is: 197,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,532 : 91,564 = 91,564 : x
  2. Step 2: Convert to fraction form
    42,532/91,564 = 91,564/x
  3. Step 3: Cross multiply
    42,532x = 91,564 × 91,564
  4. Step 4: Simplify right side
    42,532x = 8,383,966,096
  5. Step 5: Solve for x
    x = 8,383,966,096/42,532
  6. Step 6: Final answer
    x = 197,121.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.