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Finding the Third Proportional to 50,727 and 110,346

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Solution

The third proportional to 50,727 and 110,346 is: 240,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,727 : 110,346 = 110,346 : x
  2. Step 2: Convert to fraction form
    50,727/110,346 = 110,346/x
  3. Step 3: Cross multiply
    50,727x = 110,346 × 110,346
  4. Step 4: Simplify right side
    50,727x = 12,176,239,716
  5. Step 5: Solve for x
    x = 12,176,239,716/50,727
  6. Step 6: Final answer
    x = 240,034.69

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Why These Related Problems?

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