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Finding the Third Proportional to 50,226.75 and 77,701.78

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Solution

The third proportional to 50,226.75 and 77,701.78 is: 120,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,226.75 : 77,701.78 = 77,701.78 : x
  2. Step 2: Convert to fraction form
    50,226.75/77,701.78 = 77,701.78/x
  3. Step 3: Cross multiply
    50,226.75x = 77,701.78 × 77,701.78
  4. Step 4: Simplify right side
    50,226.75x = 6,037,566,809.42
  5. Step 5: Solve for x
    x = 6,037,566,809.42/50,226.75
  6. Step 6: Final answer
    x = 120,206.20

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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.