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Finding the Third Proportional to 50,491.75 and 109,341

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Solution

The third proportional to 50,491.75 and 109,341 is: 236,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491.75 : 109,341 = 109,341 : x
  2. Step 2: Convert to fraction form
    50,491.75/109,341 = 109,341/x
  3. Step 3: Cross multiply
    50,491.75x = 109,341 × 109,341
  4. Step 4: Simplify right side
    50,491.75x = 11,955,454,281
  5. Step 5: Solve for x
    x = 11,955,454,281/50,491.75
  6. Step 6: Final answer
    x = 236,780.35

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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.