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Finding the Third Proportional to 109,612 and 235,860

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Solution

The third proportional to 109,612 and 235,860 is: 507,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,612 : 235,860 = 235,860 : x
  2. Step 2: Convert to fraction form
    109,612/235,860 = 235,860/x
  3. Step 3: Cross multiply
    109,612x = 235,860 × 235,860
  4. Step 4: Simplify right side
    109,612x = 55,629,939,600
  5. Step 5: Solve for x
    x = 55,629,939,600/109,612
  6. Step 6: Final answer
    x = 507,516.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.