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Finding the Third Proportional to 143,032.50 and 188,088.75

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Solution

The third proportional to 143,032.50 and 188,088.75 is: 247,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,032.50 : 188,088.75 = 188,088.75 : x
  2. Step 2: Convert to fraction form
    143,032.50/188,088.75 = 188,088.75/x
  3. Step 3: Cross multiply
    143,032.50x = 188,088.75 × 188,088.75
  4. Step 4: Simplify right side
    143,032.50x = 35,377,377,876.56
  5. Step 5: Solve for x
    x = 35,377,377,876.56/143,032.50
  6. Step 6: Final answer
    x = 247,338.04

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.