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Finding the Third Proportional to 113,989.78 and 171,045.42

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Solution

The third proportional to 113,989.78 and 171,045.42 is: 256,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,989.78 : 171,045.42 = 171,045.42 : x
  2. Step 2: Convert to fraction form
    113,989.78/171,045.42 = 171,045.42/x
  3. Step 3: Cross multiply
    113,989.78x = 171,045.42 × 171,045.42
  4. Step 4: Simplify right side
    113,989.78x = 29,256,536,344.40
  5. Step 5: Solve for x
    x = 29,256,536,344.40/113,989.78
  6. Step 6: Final answer
    x = 256,659.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.