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Finding the Third Proportional to 106,592 and 160,162

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Solution

The third proportional to 106,592 and 160,162 is: 240,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,592 : 160,162 = 160,162 : x
  2. Step 2: Convert to fraction form
    106,592/160,162 = 160,162/x
  3. Step 3: Cross multiply
    106,592x = 160,162 × 160,162
  4. Step 4: Simplify right side
    106,592x = 25,651,866,244
  5. Step 5: Solve for x
    x = 25,651,866,244/106,592
  6. Step 6: Final answer
    x = 240,654.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.