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Finding the Third Proportional to 50,998 and 109,369

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Solution

The third proportional to 50,998 and 109,369 is: 234,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,998 : 109,369 = 109,369 : x
  2. Step 2: Convert to fraction form
    50,998/109,369 = 109,369/x
  3. Step 3: Cross multiply
    50,998x = 109,369 × 109,369
  4. Step 4: Simplify right side
    50,998x = 11,961,578,161
  5. Step 5: Solve for x
    x = 11,961,578,161/50,998
  6. Step 6: Final answer
    x = 234,549.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.