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Finding the Third Proportional to 67,640 and 105,145

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Solution

The third proportional to 67,640 and 105,145 is: 163,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,640 : 105,145 = 105,145 : x
  2. Step 2: Convert to fraction form
    67,640/105,145 = 105,145/x
  3. Step 3: Cross multiply
    67,640x = 105,145 × 105,145
  4. Step 4: Simplify right side
    67,640x = 11,055,471,025
  5. Step 5: Solve for x
    x = 11,055,471,025/67,640
  6. Step 6: Final answer
    x = 163,445.76

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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.