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Finding the Third Proportional to 42,775 and 93,467

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Solution

The third proportional to 42,775 and 93,467 is: 204,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775 : 93,467 = 93,467 : x
  2. Step 2: Convert to fraction form
    42,775/93,467 = 93,467/x
  3. Step 3: Cross multiply
    42,775x = 93,467 × 93,467
  4. Step 4: Simplify right side
    42,775x = 8,736,080,089
  5. Step 5: Solve for x
    x = 8,736,080,089/42,775
  6. Step 6: Final answer
    x = 204,233.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.