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Finding the Third Proportional to 88,735 and 134,027

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Solution

The third proportional to 88,735 and 134,027 is: 202,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,735 : 134,027 = 134,027 : x
  2. Step 2: Convert to fraction form
    88,735/134,027 = 134,027/x
  3. Step 3: Cross multiply
    88,735x = 134,027 × 134,027
  4. Step 4: Simplify right side
    88,735x = 17,963,236,729
  5. Step 5: Solve for x
    x = 17,963,236,729/88,735
  6. Step 6: Final answer
    x = 202,436.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.