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Finding the Third Proportional to 118,996 and 158,644

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Solution

The third proportional to 118,996 and 158,644 is: 211,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,996 : 158,644 = 158,644 : x
  2. Step 2: Convert to fraction form
    118,996/158,644 = 158,644/x
  3. Step 3: Cross multiply
    118,996x = 158,644 × 158,644
  4. Step 4: Simplify right side
    118,996x = 25,167,918,736
  5. Step 5: Solve for x
    x = 25,167,918,736/118,996
  6. Step 6: Final answer
    x = 211,502.22

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Why These Related Problems?

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