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Finding the Third Proportional to 67,158 and 102,690

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Solution

The third proportional to 67,158 and 102,690 is: 157,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,158 : 102,690 = 102,690 : x
  2. Step 2: Convert to fraction form
    67,158/102,690 = 102,690/x
  3. Step 3: Cross multiply
    67,158x = 102,690 × 102,690
  4. Step 4: Simplify right side
    67,158x = 10,545,236,100
  5. Step 5: Solve for x
    x = 10,545,236,100/67,158
  6. Step 6: Final answer
    x = 157,021.29

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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.