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Finding the Third Proportional to 126,801.56 and 202,197.38

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Solution

The third proportional to 126,801.56 and 202,197.38 is: 322,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,801.56 : 202,197.38 = 202,197.38 : x
  2. Step 2: Convert to fraction form
    126,801.56/202,197.38 = 202,197.38/x
  3. Step 3: Cross multiply
    126,801.56x = 202,197.38 × 202,197.38
  4. Step 4: Simplify right side
    126,801.56x = 40,883,778,456.89
  5. Step 5: Solve for x
    x = 40,883,778,456.89/126,801.56
  6. Step 6: Final answer
    x = 322,423.30

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.