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Finding the Third Proportional to 73,631 and 111,060

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Solution

The third proportional to 73,631 and 111,060 is: 167,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,631 : 111,060 = 111,060 : x
  2. Step 2: Convert to fraction form
    73,631/111,060 = 111,060/x
  3. Step 3: Cross multiply
    73,631x = 111,060 × 111,060
  4. Step 4: Simplify right side
    73,631x = 12,334,323,600
  5. Step 5: Solve for x
    x = 12,334,323,600/73,631
  6. Step 6: Final answer
    x = 167,515.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.