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Finding the Third Proportional to 104,782 and 158,184

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Solution

The third proportional to 104,782 and 158,184 is: 238,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,782 : 158,184 = 158,184 : x
  2. Step 2: Convert to fraction form
    104,782/158,184 = 158,184/x
  3. Step 3: Cross multiply
    104,782x = 158,184 × 158,184
  4. Step 4: Simplify right side
    104,782x = 25,022,177,856
  5. Step 5: Solve for x
    x = 25,022,177,856/104,782
  6. Step 6: Final answer
    x = 238,802.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.