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Finding the Third Proportional to 113,533 and 171,872

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Solution

The third proportional to 113,533 and 171,872 is: 260,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,533 : 171,872 = 171,872 : x
  2. Step 2: Convert to fraction form
    113,533/171,872 = 171,872/x
  3. Step 3: Cross multiply
    113,533x = 171,872 × 171,872
  4. Step 4: Simplify right side
    113,533x = 29,539,984,384
  5. Step 5: Solve for x
    x = 29,539,984,384/113,533
  6. Step 6: Final answer
    x = 260,188.53

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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.