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Finding the Third Proportional to 122,813.72 and 194,472.14

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Solution

The third proportional to 122,813.72 and 194,472.14 is: 307,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,813.72 : 194,472.14 = 194,472.14 : x
  2. Step 2: Convert to fraction form
    122,813.72/194,472.14 = 194,472.14/x
  3. Step 3: Cross multiply
    122,813.72x = 194,472.14 × 194,472.14
  4. Step 4: Simplify right side
    122,813.72x = 37,819,413,479.27
  5. Step 5: Solve for x
    x = 37,819,413,479.27/122,813.72
  6. Step 6: Final answer
    x = 307,941.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.