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Finding the Third Proportional to 125,689.22 and 273,491.44

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Solution

The third proportional to 125,689.22 and 273,491.44 is: 595,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,689.22 : 273,491.44 = 273,491.44 : x
  2. Step 2: Convert to fraction form
    125,689.22/273,491.44 = 273,491.44/x
  3. Step 3: Cross multiply
    125,689.22x = 273,491.44 × 273,491.44
  4. Step 4: Simplify right side
    125,689.22x = 74,797,566,385.82
  5. Step 5: Solve for x
    x = 74,797,566,385.82/125,689.22
  6. Step 6: Final answer
    x = 595,099.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.