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Finding the Third Proportional to 71,164 and 154,856

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Solution

The third proportional to 71,164 and 154,856 is: 336,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164 : 154,856 = 154,856 : x
  2. Step 2: Convert to fraction form
    71,164/154,856 = 154,856/x
  3. Step 3: Cross multiply
    71,164x = 154,856 × 154,856
  4. Step 4: Simplify right side
    71,164x = 23,980,380,736
  5. Step 5: Solve for x
    x = 23,980,380,736/71,164
  6. Step 6: Final answer
    x = 336,973.48

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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.