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Finding the Third Proportional to 122,586.75 and 168,814.13

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Solution

The third proportional to 122,586.75 and 168,814.13 is: 232,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,586.75 : 168,814.13 = 168,814.13 : x
  2. Step 2: Convert to fraction form
    122,586.75/168,814.13 = 168,814.13/x
  3. Step 3: Cross multiply
    122,586.75x = 168,814.13 × 168,814.13
  4. Step 4: Simplify right side
    122,586.75x = 28,498,208,799.52
  5. Step 5: Solve for x
    x = 28,498,208,799.52/122,586.75
  6. Step 6: Final answer
    x = 232,473.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.