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Finding the Third Proportional to 40,678 and 97,961

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Solution

The third proportional to 40,678 and 97,961 is: 235,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,678 : 97,961 = 97,961 : x
  2. Step 2: Convert to fraction form
    40,678/97,961 = 97,961/x
  3. Step 3: Cross multiply
    40,678x = 97,961 × 97,961
  4. Step 4: Simplify right side
    40,678x = 9,596,357,521
  5. Step 5: Solve for x
    x = 9,596,357,521/40,678
  6. Step 6: Final answer
    x = 235,910.26

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.