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Finding the Third Proportional to 113,402 and 171,379

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Solution

The third proportional to 113,402 and 171,379 is: 258,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,402 : 171,379 = 171,379 : x
  2. Step 2: Convert to fraction form
    113,402/171,379 = 171,379/x
  3. Step 3: Cross multiply
    113,402x = 171,379 × 171,379
  4. Step 4: Simplify right side
    113,402x = 29,370,761,641
  5. Step 5: Solve for x
    x = 29,370,761,641/113,402
  6. Step 6: Final answer
    x = 258,996.86

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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.