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Finding the Third Proportional to 101,774 and 155,683

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Solution

The third proportional to 101,774 and 155,683 is: 238,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,774 : 155,683 = 155,683 : x
  2. Step 2: Convert to fraction form
    101,774/155,683 = 155,683/x
  3. Step 3: Cross multiply
    101,774x = 155,683 × 155,683
  4. Step 4: Simplify right side
    101,774x = 24,237,196,489
  5. Step 5: Solve for x
    x = 24,237,196,489/101,774
  6. Step 6: Final answer
    x = 238,147.23

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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.