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Finding the Third Proportional to 103,742 and 164,685

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Solution

The third proportional to 103,742 and 164,685 is: 261,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,742 : 164,685 = 164,685 : x
  2. Step 2: Convert to fraction form
    103,742/164,685 = 164,685/x
  3. Step 3: Cross multiply
    103,742x = 164,685 × 164,685
  4. Step 4: Simplify right side
    103,742x = 27,121,149,225
  5. Step 5: Solve for x
    x = 27,121,149,225/103,742
  6. Step 6: Final answer
    x = 261,428.83

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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.