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Finding the Third Proportional to 131,222.25 and 192,642.75

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Solution

The third proportional to 131,222.25 and 192,642.75 is: 282,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,222.25 : 192,642.75 = 192,642.75 : x
  2. Step 2: Convert to fraction form
    131,222.25/192,642.75 = 192,642.75/x
  3. Step 3: Cross multiply
    131,222.25x = 192,642.75 × 192,642.75
  4. Step 4: Simplify right side
    131,222.25x = 37,111,229,127.56
  5. Step 5: Solve for x
    x = 37,111,229,127.56/131,222.25
  6. Step 6: Final answer
    x = 282,812.02

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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.