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Finding the Third Proportional to 50,472 and 109,788

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Solution

The third proportional to 50,472 and 109,788 is: 238,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,472 : 109,788 = 109,788 : x
  2. Step 2: Convert to fraction form
    50,472/109,788 = 109,788/x
  3. Step 3: Cross multiply
    50,472x = 109,788 × 109,788
  4. Step 4: Simplify right side
    50,472x = 12,053,404,944
  5. Step 5: Solve for x
    x = 12,053,404,944/50,472
  6. Step 6: Final answer
    x = 238,813.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.