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Finding the Third Proportional to 47,671 and 94,143

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Solution

The third proportional to 47,671 and 94,143 is: 185,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671 : 94,143 = 94,143 : x
  2. Step 2: Convert to fraction form
    47,671/94,143 = 94,143/x
  3. Step 3: Cross multiply
    47,671x = 94,143 × 94,143
  4. Step 4: Simplify right side
    47,671x = 8,862,904,449
  5. Step 5: Solve for x
    x = 8,862,904,449/47,671
  6. Step 6: Final answer
    x = 185,918.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.