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Finding the Third Proportional to 113,224 and 169,864

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Solution

The third proportional to 113,224 and 169,864 is: 254,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,224 : 169,864 = 169,864 : x
  2. Step 2: Convert to fraction form
    113,224/169,864 = 169,864/x
  3. Step 3: Cross multiply
    113,224x = 169,864 × 169,864
  4. Step 4: Simplify right side
    113,224x = 28,853,778,496
  5. Step 5: Solve for x
    x = 28,853,778,496/113,224
  6. Step 6: Final answer
    x = 254,838.01

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Why These Related Problems?

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