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Finding the Third Proportional to 50,987 and 109,357

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Solution

The third proportional to 50,987 and 109,357 is: 234,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,987 : 109,357 = 109,357 : x
  2. Step 2: Convert to fraction form
    50,987/109,357 = 109,357/x
  3. Step 3: Cross multiply
    50,987x = 109,357 × 109,357
  4. Step 4: Simplify right side
    50,987x = 11,958,953,449
  5. Step 5: Solve for x
    x = 11,958,953,449/50,987
  6. Step 6: Final answer
    x = 234,549.07

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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.