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Finding the Third Proportional to 95,428.50 and 140,226

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Solution

The third proportional to 95,428.50 and 140,226 is: 206,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,428.50 : 140,226 = 140,226 : x
  2. Step 2: Convert to fraction form
    95,428.50/140,226 = 140,226/x
  3. Step 3: Cross multiply
    95,428.50x = 140,226 × 140,226
  4. Step 4: Simplify right side
    95,428.50x = 19,663,331,076
  5. Step 5: Solve for x
    x = 19,663,331,076/95,428.50
  6. Step 6: Final answer
    x = 206,053.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.