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Finding the Third Proportional to 40,297 and 87,816

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Solution

The third proportional to 40,297 and 87,816 is: 191,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,297 : 87,816 = 87,816 : x
  2. Step 2: Convert to fraction form
    40,297/87,816 = 87,816/x
  3. Step 3: Cross multiply
    40,297x = 87,816 × 87,816
  4. Step 4: Simplify right side
    40,297x = 7,711,649,856
  5. Step 5: Solve for x
    x = 7,711,649,856/40,297
  6. Step 6: Final answer
    x = 191,370.32

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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.