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Finding the Third Proportional to 50,018 and 88,943

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Solution

The third proportional to 50,018 and 88,943 is: 158,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,018 : 88,943 = 88,943 : x
  2. Step 2: Convert to fraction form
    50,018/88,943 = 88,943/x
  3. Step 3: Cross multiply
    50,018x = 88,943 × 88,943
  4. Step 4: Simplify right side
    50,018x = 7,910,857,249
  5. Step 5: Solve for x
    x = 7,910,857,249/50,018
  6. Step 6: Final answer
    x = 158,160.21

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.