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Finding the Third Proportional to 67,721 and 105,005

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Solution

The third proportional to 67,721 and 105,005 is: 162,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,721 : 105,005 = 105,005 : x
  2. Step 2: Convert to fraction form
    67,721/105,005 = 105,005/x
  3. Step 3: Cross multiply
    67,721x = 105,005 × 105,005
  4. Step 4: Simplify right side
    67,721x = 11,026,050,025
  5. Step 5: Solve for x
    x = 11,026,050,025/67,721
  6. Step 6: Final answer
    x = 162,815.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.