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Finding the Third Proportional to 85,505 and 185,612

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Solution

The third proportional to 85,505 and 185,612 is: 402,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,505 : 185,612 = 185,612 : x
  2. Step 2: Convert to fraction form
    85,505/185,612 = 185,612/x
  3. Step 3: Cross multiply
    85,505x = 185,612 × 185,612
  4. Step 4: Simplify right side
    85,505x = 34,451,814,544
  5. Step 5: Solve for x
    x = 34,451,814,544/85,505
  6. Step 6: Final answer
    x = 402,921.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.