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Finding the Third Proportional to 113,092 and 169,896

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Solution

The third proportional to 113,092 and 169,896 is: 255,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,092 : 169,896 = 169,896 : x
  2. Step 2: Convert to fraction form
    113,092/169,896 = 169,896/x
  3. Step 3: Cross multiply
    113,092x = 169,896 × 169,896
  4. Step 4: Simplify right side
    113,092x = 28,864,650,816
  5. Step 5: Solve for x
    x = 28,864,650,816/113,092
  6. Step 6: Final answer
    x = 255,231.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.