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Finding the Third Proportional to 56,104.31 and 121,745.81

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Solution

The third proportional to 56,104.31 and 121,745.81 is: 264,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,104.31 : 121,745.81 = 121,745.81 : x
  2. Step 2: Convert to fraction form
    56,104.31/121,745.81 = 121,745.81/x
  3. Step 3: Cross multiply
    56,104.31x = 121,745.81 × 121,745.81
  4. Step 4: Simplify right side
    56,104.31x = 14,822,042,861.29
  5. Step 5: Solve for x
    x = 14,822,042,861.29/56,104.31
  6. Step 6: Final answer
    x = 264,187.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.