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Finding the Third Proportional to 75,032 and 160,108

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Solution

The third proportional to 75,032 and 160,108 is: 341,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,032 : 160,108 = 160,108 : x
  2. Step 2: Convert to fraction form
    75,032/160,108 = 160,108/x
  3. Step 3: Cross multiply
    75,032x = 160,108 × 160,108
  4. Step 4: Simplify right side
    75,032x = 25,634,571,664
  5. Step 5: Solve for x
    x = 25,634,571,664/75,032
  6. Step 6: Final answer
    x = 341,648.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.