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Finding the Third Proportional to 110,572 and 166,413

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Solution

The third proportional to 110,572 and 166,413 is: 250,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,572 : 166,413 = 166,413 : x
  2. Step 2: Convert to fraction form
    110,572/166,413 = 166,413/x
  3. Step 3: Cross multiply
    110,572x = 166,413 × 166,413
  4. Step 4: Simplify right side
    110,572x = 27,693,286,569
  5. Step 5: Solve for x
    x = 27,693,286,569/110,572
  6. Step 6: Final answer
    x = 250,454.79

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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.