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Finding the Third Proportional to 67,491 and 99,042.75

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Solution

The third proportional to 67,491 and 99,042.75 is: 145,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,491 : 99,042.75 = 99,042.75 : x
  2. Step 2: Convert to fraction form
    67,491/99,042.75 = 99,042.75/x
  3. Step 3: Cross multiply
    67,491x = 99,042.75 × 99,042.75
  4. Step 4: Simplify right side
    67,491x = 9,809,466,327.56
  5. Step 5: Solve for x
    x = 9,809,466,327.56/67,491
  6. Step 6: Final answer
    x = 145,344.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.