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Finding the Third Proportional to 85,698 and 185,652

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Solution

The third proportional to 85,698 and 185,652 is: 402,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,698 : 185,652 = 185,652 : x
  2. Step 2: Convert to fraction form
    85,698/185,652 = 185,652/x
  3. Step 3: Cross multiply
    85,698x = 185,652 × 185,652
  4. Step 4: Simplify right side
    85,698x = 34,466,665,104
  5. Step 5: Solve for x
    x = 34,466,665,104/85,698
  6. Step 6: Final answer
    x = 402,187.51

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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.