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Finding the Third Proportional to 47,660 and 94,124

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Solution

The third proportional to 47,660 and 94,124 is: 185,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,660 : 94,124 = 94,124 : x
  2. Step 2: Convert to fraction form
    47,660/94,124 = 94,124/x
  3. Step 3: Cross multiply
    47,660x = 94,124 × 94,124
  4. Step 4: Simplify right side
    47,660x = 8,859,327,376
  5. Step 5: Solve for x
    x = 8,859,327,376/47,660
  6. Step 6: Final answer
    x = 185,886.01

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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.