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Finding the Third Proportional to 90,108 and 185,928

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Solution

The third proportional to 90,108 and 185,928 is: 383,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,108 : 185,928 = 185,928 : x
  2. Step 2: Convert to fraction form
    90,108/185,928 = 185,928/x
  3. Step 3: Cross multiply
    90,108x = 185,928 × 185,928
  4. Step 4: Simplify right side
    90,108x = 34,569,221,184
  5. Step 5: Solve for x
    x = 34,569,221,184/90,108
  6. Step 6: Final answer
    x = 383,642.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.