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Finding the Third Proportional to 122,465.67 and 185,544.42

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Solution

The third proportional to 122,465.67 and 185,544.42 is: 281,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,465.67 : 185,544.42 = 185,544.42 : x
  2. Step 2: Convert to fraction form
    122,465.67/185,544.42 = 185,544.42/x
  3. Step 3: Cross multiply
    122,465.67x = 185,544.42 × 185,544.42
  4. Step 4: Simplify right side
    122,465.67x = 34,426,732,488.93
  5. Step 5: Solve for x
    x = 34,426,732,488.93/122,465.67
  6. Step 6: Final answer
    x = 281,113.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.