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Finding the Third Proportional to 67,724 and 103,172

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Solution

The third proportional to 67,724 and 103,172 is: 157,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,724 : 103,172 = 103,172 : x
  2. Step 2: Convert to fraction form
    67,724/103,172 = 103,172/x
  3. Step 3: Cross multiply
    67,724x = 103,172 × 103,172
  4. Step 4: Simplify right side
    67,724x = 10,644,461,584
  5. Step 5: Solve for x
    x = 10,644,461,584/67,724
  6. Step 6: Final answer
    x = 157,174.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.