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Finding the Third Proportional to 113,899 and 169,906

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Solution

The third proportional to 113,899 and 169,906 is: 253,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,899 : 169,906 = 169,906 : x
  2. Step 2: Convert to fraction form
    113,899/169,906 = 169,906/x
  3. Step 3: Cross multiply
    113,899x = 169,906 × 169,906
  4. Step 4: Simplify right side
    113,899x = 28,868,048,836
  5. Step 5: Solve for x
    x = 28,868,048,836/113,899
  6. Step 6: Final answer
    x = 253,453.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.