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Finding the Third Proportional to 47,971 and 67,099

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Solution

The third proportional to 47,971 and 67,099 is: 93,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,971 : 67,099 = 67,099 : x
  2. Step 2: Convert to fraction form
    47,971/67,099 = 67,099/x
  3. Step 3: Cross multiply
    47,971x = 67,099 × 67,099
  4. Step 4: Simplify right side
    47,971x = 4,502,275,801
  5. Step 5: Solve for x
    x = 4,502,275,801/47,971
  6. Step 6: Final answer
    x = 93,854.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.