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Finding the Third Proportional to 90,118 and 185,948

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Solution

The third proportional to 90,118 and 185,948 is: 383,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,118 : 185,948 = 185,948 : x
  2. Step 2: Convert to fraction form
    90,118/185,948 = 185,948/x
  3. Step 3: Cross multiply
    90,118x = 185,948 × 185,948
  4. Step 4: Simplify right side
    90,118x = 34,576,658,704
  5. Step 5: Solve for x
    x = 34,576,658,704/90,118
  6. Step 6: Final answer
    x = 383,682.05

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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.