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Finding the Third Proportional to 101,766 and 155,671

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Solution

The third proportional to 101,766 and 155,671 is: 238,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,766 : 155,671 = 155,671 : x
  2. Step 2: Convert to fraction form
    101,766/155,671 = 155,671/x
  3. Step 3: Cross multiply
    101,766x = 155,671 × 155,671
  4. Step 4: Simplify right side
    101,766x = 24,233,460,241
  5. Step 5: Solve for x
    x = 24,233,460,241/101,766
  6. Step 6: Final answer
    x = 238,129.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.