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Finding the Third Proportional to 113,926 and 172,586

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Solution

The third proportional to 113,926 and 172,586 is: 261,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,926 : 172,586 = 172,586 : x
  2. Step 2: Convert to fraction form
    113,926/172,586 = 172,586/x
  3. Step 3: Cross multiply
    113,926x = 172,586 × 172,586
  4. Step 4: Simplify right side
    113,926x = 29,785,927,396
  5. Step 5: Solve for x
    x = 29,785,927,396/113,926
  6. Step 6: Final answer
    x = 261,449.78

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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.