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Finding the Third Proportional to 73,166 and 106,960

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Solution

The third proportional to 73,166 and 106,960 is: 156,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,166 : 106,960 = 106,960 : x
  2. Step 2: Convert to fraction form
    73,166/106,960 = 106,960/x
  3. Step 3: Cross multiply
    73,166x = 106,960 × 106,960
  4. Step 4: Simplify right side
    73,166x = 11,440,441,600
  5. Step 5: Solve for x
    x = 11,440,441,600/73,166
  6. Step 6: Final answer
    x = 156,362.81

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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.