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Finding the Third Proportional to 85,536 and 185,832

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Solution

The third proportional to 85,536 and 185,832 is: 403,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,536 : 185,832 = 185,832 : x
  2. Step 2: Convert to fraction form
    85,536/185,832 = 185,832/x
  3. Step 3: Cross multiply
    85,536x = 185,832 × 185,832
  4. Step 4: Simplify right side
    85,536x = 34,533,532,224
  5. Step 5: Solve for x
    x = 34,533,532,224/85,536
  6. Step 6: Final answer
    x = 403,730.97

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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.