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Finding the Third Proportional to 122,937.75 and 192,972.38

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Solution

The third proportional to 122,937.75 and 192,972.38 is: 302,904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,937.75 : 192,972.38 = 192,972.38 : x
  2. Step 2: Convert to fraction form
    122,937.75/192,972.38 = 192,972.38/x
  3. Step 3: Cross multiply
    122,937.75x = 192,972.38 × 192,972.38
  4. Step 4: Simplify right side
    122,937.75x = 37,238,337,513.14
  5. Step 5: Solve for x
    x = 37,238,337,513.14/122,937.75
  6. Step 6: Final answer
    x = 302,904.01

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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.