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Finding the Third Proportional to 113,816 and 163,945

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Solution

The third proportional to 113,816 and 163,945 is: 236,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,816 : 163,945 = 163,945 : x
  2. Step 2: Convert to fraction form
    113,816/163,945 = 163,945/x
  3. Step 3: Cross multiply
    113,816x = 163,945 × 163,945
  4. Step 4: Simplify right side
    113,816x = 26,877,963,025
  5. Step 5: Solve for x
    x = 26,877,963,025/113,816
  6. Step 6: Final answer
    x = 236,152.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.