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Finding the Third Proportional to 47,070 and 91,775

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Solution

The third proportional to 47,070 and 91,775 is: 178,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,070 : 91,775 = 91,775 : x
  2. Step 2: Convert to fraction form
    47,070/91,775 = 91,775/x
  3. Step 3: Cross multiply
    47,070x = 91,775 × 91,775
  4. Step 4: Simplify right side
    47,070x = 8,422,650,625
  5. Step 5: Solve for x
    x = 8,422,650,625/47,070
  6. Step 6: Final answer
    x = 178,938.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.