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Finding the Third Proportional to 67,266 and 105,533

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Solution

The third proportional to 67,266 and 105,533 is: 165,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,266 : 105,533 = 105,533 : x
  2. Step 2: Convert to fraction form
    67,266/105,533 = 105,533/x
  3. Step 3: Cross multiply
    67,266x = 105,533 × 105,533
  4. Step 4: Simplify right side
    67,266x = 11,137,214,089
  5. Step 5: Solve for x
    x = 11,137,214,089/67,266
  6. Step 6: Final answer
    x = 165,569.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.