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Finding the Third Proportional to 113,032 and 155,144

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Solution

The third proportional to 113,032 and 155,144 is: 212,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,032 : 155,144 = 155,144 : x
  2. Step 2: Convert to fraction form
    113,032/155,144 = 155,144/x
  3. Step 3: Cross multiply
    113,032x = 155,144 × 155,144
  4. Step 4: Simplify right side
    113,032x = 24,069,660,736
  5. Step 5: Solve for x
    x = 24,069,660,736/113,032
  6. Step 6: Final answer
    x = 212,945.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.