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Finding the Third Proportional to 85,184 and 185,920

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Solution

The third proportional to 85,184 and 185,920 is: 405,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,184 : 185,920 = 185,920 : x
  2. Step 2: Convert to fraction form
    85,184/185,920 = 185,920/x
  3. Step 3: Cross multiply
    85,184x = 185,920 × 185,920
  4. Step 4: Simplify right side
    85,184x = 34,566,246,400
  5. Step 5: Solve for x
    x = 34,566,246,400/85,184
  6. Step 6: Final answer
    x = 405,783.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.