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Finding the Third Proportional to 67,568 and 105,094

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Solution

The third proportional to 67,568 and 105,094 is: 163,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,568 : 105,094 = 105,094 : x
  2. Step 2: Convert to fraction form
    67,568/105,094 = 105,094/x
  3. Step 3: Cross multiply
    67,568x = 105,094 × 105,094
  4. Step 4: Simplify right side
    67,568x = 11,044,748,836
  5. Step 5: Solve for x
    x = 11,044,748,836/67,568
  6. Step 6: Final answer
    x = 163,461.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.