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Finding the Third Proportional to 50,478 and 109,316

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Solution

The third proportional to 50,478 and 109,316 is: 236,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478 : 109,316 = 109,316 : x
  2. Step 2: Convert to fraction form
    50,478/109,316 = 109,316/x
  3. Step 3: Cross multiply
    50,478x = 109,316 × 109,316
  4. Step 4: Simplify right side
    50,478x = 11,949,987,856
  5. Step 5: Solve for x
    x = 11,949,987,856/50,478
  6. Step 6: Final answer
    x = 236,736.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.