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Finding the Third Proportional to 50,245 and 77,765

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Solution

The third proportional to 50,245 and 77,765 is: 120,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,245 : 77,765 = 77,765 : x
  2. Step 2: Convert to fraction form
    50,245/77,765 = 77,765/x
  3. Step 3: Cross multiply
    50,245x = 77,765 × 77,765
  4. Step 4: Simplify right side
    50,245x = 6,047,395,225
  5. Step 5: Solve for x
    x = 6,047,395,225/50,245
  6. Step 6: Final answer
    x = 120,358.15

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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.