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Finding the Third Proportional to 103,834 and 162,671

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Solution

The third proportional to 103,834 and 162,671 is: 254,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,834 : 162,671 = 162,671 : x
  2. Step 2: Convert to fraction form
    103,834/162,671 = 162,671/x
  3. Step 3: Cross multiply
    103,834x = 162,671 × 162,671
  4. Step 4: Simplify right side
    103,834x = 26,461,854,241
  5. Step 5: Solve for x
    x = 26,461,854,241/103,834
  6. Step 6: Final answer
    x = 254,847.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.