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Finding the Third Proportional to 34,107 and 73,818.75

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Solution

The third proportional to 34,107 and 73,818.75 is: 159,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,107 : 73,818.75 = 73,818.75 : x
  2. Step 2: Convert to fraction form
    34,107/73,818.75 = 73,818.75/x
  3. Step 3: Cross multiply
    34,107x = 73,818.75 × 73,818.75
  4. Step 4: Simplify right side
    34,107x = 5,449,207,851.56
  5. Step 5: Solve for x
    x = 5,449,207,851.56/34,107
  6. Step 6: Final answer
    x = 159,768.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.