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Finding the Third Proportional to 68,037 and 108,070

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Solution

The third proportional to 68,037 and 108,070 is: 171,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,037 : 108,070 = 108,070 : x
  2. Step 2: Convert to fraction form
    68,037/108,070 = 108,070/x
  3. Step 3: Cross multiply
    68,037x = 108,070 × 108,070
  4. Step 4: Simplify right side
    68,037x = 11,679,124,900
  5. Step 5: Solve for x
    x = 11,679,124,900/68,037
  6. Step 6: Final answer
    x = 171,658.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.