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Finding the Third Proportional to 50,642 and 110,396

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Solution

The third proportional to 50,642 and 110,396 is: 240,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642 : 110,396 = 110,396 : x
  2. Step 2: Convert to fraction form
    50,642/110,396 = 110,396/x
  3. Step 3: Cross multiply
    50,642x = 110,396 × 110,396
  4. Step 4: Simplify right side
    50,642x = 12,187,276,816
  5. Step 5: Solve for x
    x = 12,187,276,816/50,642
  6. Step 6: Final answer
    x = 240,655.52

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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.