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Finding the Third Proportional to 101,742 and 155,638

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Solution

The third proportional to 101,742 and 155,638 is: 238,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742 : 155,638 = 155,638 : x
  2. Step 2: Convert to fraction form
    101,742/155,638 = 155,638/x
  3. Step 3: Cross multiply
    101,742x = 155,638 × 155,638
  4. Step 4: Simplify right side
    101,742x = 24,223,187,044
  5. Step 5: Solve for x
    x = 24,223,187,044/101,742
  6. Step 6: Final answer
    x = 238,084.44

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