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Finding the Third Proportional to 42,243 and 63,238

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Solution

The third proportional to 42,243 and 63,238 is: 94,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,243 : 63,238 = 63,238 : x
  2. Step 2: Convert to fraction form
    42,243/63,238 = 63,238/x
  3. Step 3: Cross multiply
    42,243x = 63,238 × 63,238
  4. Step 4: Simplify right side
    42,243x = 3,999,044,644
  5. Step 5: Solve for x
    x = 3,999,044,644/42,243
  6. Step 6: Final answer
    x = 94,667.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.