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Finding the Third Proportional to 50,650 and 110,842

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Solution

The third proportional to 50,650 and 110,842 is: 242,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,650 : 110,842 = 110,842 : x
  2. Step 2: Convert to fraction form
    50,650/110,842 = 110,842/x
  3. Step 3: Cross multiply
    50,650x = 110,842 × 110,842
  4. Step 4: Simplify right side
    50,650x = 12,285,948,964
  5. Step 5: Solve for x
    x = 12,285,948,964/50,650
  6. Step 6: Final answer
    x = 242,565.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.