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Finding the Third Proportional to 94,791 and 147,867

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Solution

The third proportional to 94,791 and 147,867 is: 230,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,791 : 147,867 = 147,867 : x
  2. Step 2: Convert to fraction form
    94,791/147,867 = 147,867/x
  3. Step 3: Cross multiply
    94,791x = 147,867 × 147,867
  4. Step 4: Simplify right side
    94,791x = 21,864,649,689
  5. Step 5: Solve for x
    x = 21,864,649,689/94,791
  6. Step 6: Final answer
    x = 230,661.66

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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.