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Finding the Third Proportional to 140,545.13 and 207,096.75

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Solution

The third proportional to 140,545.13 and 207,096.75 is: 305,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,545.13 : 207,096.75 = 207,096.75 : x
  2. Step 2: Convert to fraction form
    140,545.13/207,096.75 = 207,096.75/x
  3. Step 3: Cross multiply
    140,545.13x = 207,096.75 × 207,096.75
  4. Step 4: Simplify right side
    140,545.13x = 42,889,063,860.56
  5. Step 5: Solve for x
    x = 42,889,063,860.56/140,545.13
  6. Step 6: Final answer
    x = 305,162.23

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Why These Related Problems?

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