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Finding the Third Proportional to 85,702 and 185,660

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Solution

The third proportional to 85,702 and 185,660 is: 402,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,702 : 185,660 = 185,660 : x
  2. Step 2: Convert to fraction form
    85,702/185,660 = 185,660/x
  3. Step 3: Cross multiply
    85,702x = 185,660 × 185,660
  4. Step 4: Simplify right side
    85,702x = 34,469,635,600
  5. Step 5: Solve for x
    x = 34,469,635,600/85,702
  6. Step 6: Final answer
    x = 402,203.40

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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.