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Finding the Third Proportional to 120,832 and 174,048

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Solution

The third proportional to 120,832 and 174,048 is: 250,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,832 : 174,048 = 174,048 : x
  2. Step 2: Convert to fraction form
    120,832/174,048 = 174,048/x
  3. Step 3: Cross multiply
    120,832x = 174,048 × 174,048
  4. Step 4: Simplify right side
    120,832x = 30,292,706,304
  5. Step 5: Solve for x
    x = 30,292,706,304/120,832
  6. Step 6: Final answer
    x = 250,701.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.