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Finding the Third Proportional to 85,454 and 186,990

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Solution

The third proportional to 85,454 and 186,990 is: 409,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,454 : 186,990 = 186,990 : x
  2. Step 2: Convert to fraction form
    85,454/186,990 = 186,990/x
  3. Step 3: Cross multiply
    85,454x = 186,990 × 186,990
  4. Step 4: Simplify right side
    85,454x = 34,965,260,100
  5. Step 5: Solve for x
    x = 34,965,260,100/85,454
  6. Step 6: Final answer
    x = 409,170.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.