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Finding the Third Proportional to 131,584.50 and 192,045.94

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Solution

The third proportional to 131,584.50 and 192,045.94 is: 280,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,584.50 : 192,045.94 = 192,045.94 : x
  2. Step 2: Convert to fraction form
    131,584.50/192,045.94 = 192,045.94/x
  3. Step 3: Cross multiply
    131,584.50x = 192,045.94 × 192,045.94
  4. Step 4: Simplify right side
    131,584.50x = 36,881,642,110.25
  5. Step 5: Solve for x
    x = 36,881,642,110.25/131,584.50
  6. Step 6: Final answer
    x = 280,288.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.