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Finding the Third Proportional to 123,047.44 and 192,772.13

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Solution

The third proportional to 123,047.44 and 192,772.13 is: 302,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,047.44 : 192,772.13 = 192,772.13 : x
  2. Step 2: Convert to fraction form
    123,047.44/192,772.13 = 192,772.13/x
  3. Step 3: Cross multiply
    123,047.44x = 192,772.13 × 192,772.13
  4. Step 4: Simplify right side
    123,047.44x = 37,161,092,177.02
  5. Step 5: Solve for x
    x = 37,161,092,177.02/123,047.44
  6. Step 6: Final answer
    x = 302,006.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.