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Finding the Third Proportional to 94,761 and 147,843

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Solution

The third proportional to 94,761 and 147,843 is: 230,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,761 : 147,843 = 147,843 : x
  2. Step 2: Convert to fraction form
    94,761/147,843 = 147,843/x
  3. Step 3: Cross multiply
    94,761x = 147,843 × 147,843
  4. Step 4: Simplify right side
    94,761x = 21,857,552,649
  5. Step 5: Solve for x
    x = 21,857,552,649/94,761
  6. Step 6: Final answer
    x = 230,659.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.