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Finding the Third Proportional to 67,626 and 103,491

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Solution

The third proportional to 67,626 and 103,491 is: 158,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,626 : 103,491 = 103,491 : x
  2. Step 2: Convert to fraction form
    67,626/103,491 = 103,491/x
  3. Step 3: Cross multiply
    67,626x = 103,491 × 103,491
  4. Step 4: Simplify right side
    67,626x = 10,710,387,081
  5. Step 5: Solve for x
    x = 10,710,387,081/67,626
  6. Step 6: Final answer
    x = 158,376.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.