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Finding the Third Proportional to 43,228 and 63,184

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Solution

The third proportional to 43,228 and 63,184 is: 92,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,228 : 63,184 = 63,184 : x
  2. Step 2: Convert to fraction form
    43,228/63,184 = 63,184/x
  3. Step 3: Cross multiply
    43,228x = 63,184 × 63,184
  4. Step 4: Simplify right side
    43,228x = 3,992,217,856
  5. Step 5: Solve for x
    x = 3,992,217,856/43,228
  6. Step 6: Final answer
    x = 92,352.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.