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Finding the Third Proportional to 118,969 and 158,605

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Solution

The third proportional to 118,969 and 158,605 is: 211,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,969 : 158,605 = 158,605 : x
  2. Step 2: Convert to fraction form
    118,969/158,605 = 158,605/x
  3. Step 3: Cross multiply
    118,969x = 158,605 × 158,605
  4. Step 4: Simplify right side
    118,969x = 25,155,546,025
  5. Step 5: Solve for x
    x = 25,155,546,025/118,969
  6. Step 6: Final answer
    x = 211,446.23

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.