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Finding the Third Proportional to 91,742.94 and 129,195.32

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Solution

The third proportional to 91,742.94 and 129,195.32 is: 181,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,742.94 : 129,195.32 = 129,195.32 : x
  2. Step 2: Convert to fraction form
    91,742.94/129,195.32 = 129,195.32/x
  3. Step 3: Cross multiply
    91,742.94x = 129,195.32 × 129,195.32
  4. Step 4: Simplify right side
    91,742.94x = 16,691,429,781.31
  5. Step 5: Solve for x
    x = 16,691,429,781.31/91,742.94
  6. Step 6: Final answer
    x = 181,936.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.