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Finding the Third Proportional to 100,980 and 153,918

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Solution

The third proportional to 100,980 and 153,918 is: 234,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,980 : 153,918 = 153,918 : x
  2. Step 2: Convert to fraction form
    100,980/153,918 = 153,918/x
  3. Step 3: Cross multiply
    100,980x = 153,918 × 153,918
  4. Step 4: Simplify right side
    100,980x = 23,690,750,724
  5. Step 5: Solve for x
    x = 23,690,750,724/100,980
  6. Step 6: Final answer
    x = 234,608.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.