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Finding the Third Proportional to 40,904 and 89,417

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Solution

The third proportional to 40,904 and 89,417 is: 195,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,904 : 89,417 = 89,417 : x
  2. Step 2: Convert to fraction form
    40,904/89,417 = 89,417/x
  3. Step 3: Cross multiply
    40,904x = 89,417 × 89,417
  4. Step 4: Simplify right side
    40,904x = 7,995,399,889
  5. Step 5: Solve for x
    x = 7,995,399,889/40,904
  6. Step 6: Final answer
    x = 195,467.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.