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Finding the Third Proportional to 83,735 and 117,126

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Solution

The third proportional to 83,735 and 117,126 is: 163,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,735 : 117,126 = 117,126 : x
  2. Step 2: Convert to fraction form
    83,735/117,126 = 117,126/x
  3. Step 3: Cross multiply
    83,735x = 117,126 × 117,126
  4. Step 4: Simplify right side
    83,735x = 13,718,499,876
  5. Step 5: Solve for x
    x = 13,718,499,876/83,735
  6. Step 6: Final answer
    x = 163,832.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.