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Finding the Third Proportional to 101,744 and 155,640

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Solution

The third proportional to 101,744 and 155,640 is: 238,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,744 : 155,640 = 155,640 : x
  2. Step 2: Convert to fraction form
    101,744/155,640 = 155,640/x
  3. Step 3: Cross multiply
    101,744x = 155,640 × 155,640
  4. Step 4: Simplify right side
    101,744x = 24,223,809,600
  5. Step 5: Solve for x
    x = 24,223,809,600/101,744
  6. Step 6: Final answer
    x = 238,085.88

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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.