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Finding the Third Proportional to 113,872 and 169,888

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Solution

The third proportional to 113,872 and 169,888 is: 253,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,872 : 169,888 = 169,888 : x
  2. Step 2: Convert to fraction form
    113,872/169,888 = 169,888/x
  3. Step 3: Cross multiply
    113,872x = 169,888 × 169,888
  4. Step 4: Simplify right side
    113,872x = 28,861,932,544
  5. Step 5: Solve for x
    x = 28,861,932,544/113,872
  6. Step 6: Final answer
    x = 253,459.43

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Why These Related Problems?

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