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Finding the Third Proportional to 131,223.75 and 192,645

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Solution

The third proportional to 131,223.75 and 192,645 is: 282,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,223.75 : 192,645 = 192,645 : x
  2. Step 2: Convert to fraction form
    131,223.75/192,645 = 192,645/x
  3. Step 3: Cross multiply
    131,223.75x = 192,645 × 192,645
  4. Step 4: Simplify right side
    131,223.75x = 37,112,096,025
  5. Step 5: Solve for x
    x = 37,112,096,025/131,223.75
  6. Step 6: Final answer
    x = 282,815.39

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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.