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Finding the Third Proportional to 50,898.75 and 110,829

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Solution

The third proportional to 50,898.75 and 110,829 is: 241,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,898.75 : 110,829 = 110,829 : x
  2. Step 2: Convert to fraction form
    50,898.75/110,829 = 110,829/x
  3. Step 3: Cross multiply
    50,898.75x = 110,829 × 110,829
  4. Step 4: Simplify right side
    50,898.75x = 12,283,067,241
  5. Step 5: Solve for x
    x = 12,283,067,241/50,898.75
  6. Step 6: Final answer
    x = 241,323.55

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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.