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Finding the Third Proportional to 74,942.13 and 97,229.66

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Solution

The third proportional to 74,942.13 and 97,229.66 is: 126,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,942.13 : 97,229.66 = 97,229.66 : x
  2. Step 2: Convert to fraction form
    74,942.13/97,229.66 = 97,229.66/x
  3. Step 3: Cross multiply
    74,942.13x = 97,229.66 × 97,229.66
  4. Step 4: Simplify right side
    74,942.13x = 9,453,607,383.81
  5. Step 5: Solve for x
    x = 9,453,607,383.81/74,942.13
  6. Step 6: Final answer
    x = 126,145.44

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.