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Finding the Third Proportional to 50,231.25 and 77,778

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Solution

The third proportional to 50,231.25 and 77,778 is: 120,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,231.25 : 77,778 = 77,778 : x
  2. Step 2: Convert to fraction form
    50,231.25/77,778 = 77,778/x
  3. Step 3: Cross multiply
    50,231.25x = 77,778 × 77,778
  4. Step 4: Simplify right side
    50,231.25x = 6,049,417,284
  5. Step 5: Solve for x
    x = 6,049,417,284/50,231.25
  6. Step 6: Final answer
    x = 120,431.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.