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Finding the Third Proportional to 125,896.78 and 178,012.69

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Solution

The third proportional to 125,896.78 and 178,012.69 is: 251,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,896.78 : 178,012.69 = 178,012.69 : x
  2. Step 2: Convert to fraction form
    125,896.78/178,012.69 = 178,012.69/x
  3. Step 3: Cross multiply
    125,896.78x = 178,012.69 × 178,012.69
  4. Step 4: Simplify right side
    125,896.78x = 31,688,516,910.97
  5. Step 5: Solve for x
    x = 31,688,516,910.97/125,896.78
  6. Step 6: Final answer
    x = 251,702.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.