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Finding the Third Proportional to 50,868 and 109,765.13

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Solution

The third proportional to 50,868 and 109,765.13 is: 236,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,868 : 109,765.13 = 109,765.13 : x
  2. Step 2: Convert to fraction form
    50,868/109,765.13 = 109,765.13/x
  3. Step 3: Cross multiply
    50,868x = 109,765.13 × 109,765.13
  4. Step 4: Simplify right side
    50,868x = 12,048,382,666.27
  5. Step 5: Solve for x
    x = 12,048,382,666.27/50,868
  6. Step 6: Final answer
    x = 236,855.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.