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Finding the Third Proportional to 43,074 and 66,190

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Solution

The third proportional to 43,074 and 66,190 is: 101,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,074 : 66,190 = 66,190 : x
  2. Step 2: Convert to fraction form
    43,074/66,190 = 66,190/x
  3. Step 3: Cross multiply
    43,074x = 66,190 × 66,190
  4. Step 4: Simplify right side
    43,074x = 4,381,116,100
  5. Step 5: Solve for x
    x = 4,381,116,100/43,074
  6. Step 6: Final answer
    x = 101,711.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.