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Finding the Third Proportional to 100,170 and 152,781

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Solution

The third proportional to 100,170 and 152,781 is: 233,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,170 : 152,781 = 152,781 : x
  2. Step 2: Convert to fraction form
    100,170/152,781 = 152,781/x
  3. Step 3: Cross multiply
    100,170x = 152,781 × 152,781
  4. Step 4: Simplify right side
    100,170x = 23,342,033,961
  5. Step 5: Solve for x
    x = 23,342,033,961/100,170
  6. Step 6: Final answer
    x = 233,024.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.