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Finding the Third Proportional to 85,194 and 187,518

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Solution

The third proportional to 85,194 and 187,518 is: 412,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,194 : 187,518 = 187,518 : x
  2. Step 2: Convert to fraction form
    85,194/187,518 = 187,518/x
  3. Step 3: Cross multiply
    85,194x = 187,518 × 187,518
  4. Step 4: Simplify right side
    85,194x = 35,163,000,324
  5. Step 5: Solve for x
    x = 35,163,000,324/85,194
  6. Step 6: Final answer
    x = 412,740.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.