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Finding the Third Proportional to 75,297.94 and 116,591.06

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Solution

The third proportional to 75,297.94 and 116,591.06 is: 180,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,297.94 : 116,591.06 = 116,591.06 : x
  2. Step 2: Convert to fraction form
    75,297.94/116,591.06 = 116,591.06/x
  3. Step 3: Cross multiply
    75,297.94x = 116,591.06 × 116,591.06
  4. Step 4: Simplify right side
    75,297.94x = 13,593,475,854.88
  5. Step 5: Solve for x
    x = 13,593,475,854.88/75,297.94
  6. Step 6: Final answer
    x = 180,529.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.