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Finding the Third Proportional to 90,878 and 186,289

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Solution

The third proportional to 90,878 and 186,289 is: 381,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,878 : 186,289 = 186,289 : x
  2. Step 2: Convert to fraction form
    90,878/186,289 = 186,289/x
  3. Step 3: Cross multiply
    90,878x = 186,289 × 186,289
  4. Step 4: Simplify right side
    90,878x = 34,703,591,521
  5. Step 5: Solve for x
    x = 34,703,591,521/90,878
  6. Step 6: Final answer
    x = 381,870.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.