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Finding the Third Proportional to 113,377 and 163,895

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Solution

The third proportional to 113,377 and 163,895 is: 236,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,377 : 163,895 = 163,895 : x
  2. Step 2: Convert to fraction form
    113,377/163,895 = 163,895/x
  3. Step 3: Cross multiply
    113,377x = 163,895 × 163,895
  4. Step 4: Simplify right side
    113,377x = 26,861,571,025
  5. Step 5: Solve for x
    x = 26,861,571,025/113,377
  6. Step 6: Final answer
    x = 236,922.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.