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Finding the Third Proportional to 106,158 and 160,608

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Solution

The third proportional to 106,158 and 160,608 is: 242,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,158 : 160,608 = 160,608 : x
  2. Step 2: Convert to fraction form
    106,158/160,608 = 160,608/x
  3. Step 3: Cross multiply
    106,158x = 160,608 × 160,608
  4. Step 4: Simplify right side
    106,158x = 25,794,929,664
  5. Step 5: Solve for x
    x = 25,794,929,664/106,158
  6. Step 6: Final answer
    x = 242,986.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.