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Finding the Third Proportional to 47,252 and 73,111

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Solution

The third proportional to 47,252 and 73,111 is: 113,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,252 : 73,111 = 73,111 : x
  2. Step 2: Convert to fraction form
    47,252/73,111 = 73,111/x
  3. Step 3: Cross multiply
    47,252x = 73,111 × 73,111
  4. Step 4: Simplify right side
    47,252x = 5,345,218,321
  5. Step 5: Solve for x
    x = 5,345,218,321/47,252
  6. Step 6: Final answer
    x = 113,121.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.