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Finding the Third Proportional to 41,952 and 93,228

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Solution

The third proportional to 41,952 and 93,228 is: 207,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,952 : 93,228 = 93,228 : x
  2. Step 2: Convert to fraction form
    41,952/93,228 = 93,228/x
  3. Step 3: Cross multiply
    41,952x = 93,228 × 93,228
  4. Step 4: Simplify right side
    41,952x = 8,691,459,984
  5. Step 5: Solve for x
    x = 8,691,459,984/41,952
  6. Step 6: Final answer
    x = 207,176.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.