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Finding the Third Proportional to 73,166 and 106,961

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Solution

The third proportional to 73,166 and 106,961 is: 156,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,166 : 106,961 = 106,961 : x
  2. Step 2: Convert to fraction form
    73,166/106,961 = 106,961/x
  3. Step 3: Cross multiply
    73,166x = 106,961 × 106,961
  4. Step 4: Simplify right side
    73,166x = 11,440,655,521
  5. Step 5: Solve for x
    x = 11,440,655,521/73,166
  6. Step 6: Final answer
    x = 156,365.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.