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Finding the Third Proportional to 50,637 and 67,206

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Solution

The third proportional to 50,637 and 67,206 is: 89,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,637 : 67,206 = 67,206 : x
  2. Step 2: Convert to fraction form
    50,637/67,206 = 67,206/x
  3. Step 3: Cross multiply
    50,637x = 67,206 × 67,206
  4. Step 4: Simplify right side
    50,637x = 4,516,646,436
  5. Step 5: Solve for x
    x = 4,516,646,436/50,637
  6. Step 6: Final answer
    x = 89,196.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.