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Finding the Third Proportional to 56,405.25 and 84,324.25

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Solution

The third proportional to 56,405.25 and 84,324.25 is: 126,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,405.25 : 84,324.25 = 84,324.25 : x
  2. Step 2: Convert to fraction form
    56,405.25/84,324.25 = 84,324.25/x
  3. Step 3: Cross multiply
    56,405.25x = 84,324.25 × 84,324.25
  4. Step 4: Simplify right side
    56,405.25x = 7,110,579,138.06
  5. Step 5: Solve for x
    x = 7,110,579,138.06/56,405.25
  6. Step 6: Final answer
    x = 126,062.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.