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Finding the Third Proportional to 119,612.25 and 192,722.25

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Solution

The third proportional to 119,612.25 and 192,722.25 is: 310,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,612.25 : 192,722.25 = 192,722.25 : x
  2. Step 2: Convert to fraction form
    119,612.25/192,722.25 = 192,722.25/x
  3. Step 3: Cross multiply
    119,612.25x = 192,722.25 × 192,722.25
  4. Step 4: Simplify right side
    119,612.25x = 37,141,865,645.06
  5. Step 5: Solve for x
    x = 37,141,865,645.06/119,612.25
  6. Step 6: Final answer
    x = 310,518.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.