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Finding the Third Proportional to 100,512 and 155,952

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Solution

The third proportional to 100,512 and 155,952 is: 241,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,512 : 155,952 = 155,952 : x
  2. Step 2: Convert to fraction form
    100,512/155,952 = 155,952/x
  3. Step 3: Cross multiply
    100,512x = 155,952 × 155,952
  4. Step 4: Simplify right side
    100,512x = 24,321,026,304
  5. Step 5: Solve for x
    x = 24,321,026,304/100,512
  6. Step 6: Final answer
    x = 241,971.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.