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Finding the Third Proportional to 59,637 and 126,171

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Solution

The third proportional to 59,637 and 126,171 is: 266,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,637 : 126,171 = 126,171 : x
  2. Step 2: Convert to fraction form
    59,637/126,171 = 126,171/x
  3. Step 3: Cross multiply
    59,637x = 126,171 × 126,171
  4. Step 4: Simplify right side
    59,637x = 15,919,121,241
  5. Step 5: Solve for x
    x = 15,919,121,241/59,637
  6. Step 6: Final answer
    x = 266,933.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.