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Finding the Third Proportional to 56,467.13 and 83,141.44

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Solution

The third proportional to 56,467.13 and 83,141.44 is: 122,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,467.13 : 83,141.44 = 83,141.44 : x
  2. Step 2: Convert to fraction form
    56,467.13/83,141.44 = 83,141.44/x
  3. Step 3: Cross multiply
    56,467.13x = 83,141.44 × 83,141.44
  4. Step 4: Simplify right side
    56,467.13x = 6,912,498,629.57
  5. Step 5: Solve for x
    x = 6,912,498,629.57/56,467.13
  6. Step 6: Final answer
    x = 122,416.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.