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Finding the Third Proportional to 113,002.88 and 170,963.44

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Solution

The third proportional to 113,002.88 and 170,963.44 is: 258,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,002.88 : 170,963.44 = 170,963.44 : x
  2. Step 2: Convert to fraction form
    113,002.88/170,963.44 = 170,963.44/x
  3. Step 3: Cross multiply
    113,002.88x = 170,963.44 × 170,963.44
  4. Step 4: Simplify right side
    113,002.88x = 29,228,496,961.82
  5. Step 5: Solve for x
    x = 29,228,496,961.82/113,002.88
  6. Step 6: Final answer
    x = 258,652.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.