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Finding the Third Proportional to 50,988 and 109,355

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Solution

The third proportional to 50,988 and 109,355 is: 234,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,988 : 109,355 = 109,355 : x
  2. Step 2: Convert to fraction form
    50,988/109,355 = 109,355/x
  3. Step 3: Cross multiply
    50,988x = 109,355 × 109,355
  4. Step 4: Simplify right side
    50,988x = 11,958,516,025
  5. Step 5: Solve for x
    x = 11,958,516,025/50,988
  6. Step 6: Final answer
    x = 234,535.89

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Why These Related Problems?

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