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Finding the Third Proportional to 43,567 and 67,053

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Solution

The third proportional to 43,567 and 67,053 is: 103,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,567 : 67,053 = 67,053 : x
  2. Step 2: Convert to fraction form
    43,567/67,053 = 67,053/x
  3. Step 3: Cross multiply
    43,567x = 67,053 × 67,053
  4. Step 4: Simplify right side
    43,567x = 4,496,104,809
  5. Step 5: Solve for x
    x = 4,496,104,809/43,567
  6. Step 6: Final answer
    x = 103,199.78

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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.