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Finding the Third Proportional to 53,340.19 and 113,469.19

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Solution

The third proportional to 53,340.19 and 113,469.19 is: 241,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,340.19 : 113,469.19 = 113,469.19 : x
  2. Step 2: Convert to fraction form
    53,340.19/113,469.19 = 113,469.19/x
  3. Step 3: Cross multiply
    53,340.19x = 113,469.19 × 113,469.19
  4. Step 4: Simplify right side
    53,340.19x = 12,875,256,511.91
  5. Step 5: Solve for x
    x = 12,875,256,511.91/53,340.19
  6. Step 6: Final answer
    x = 241,380.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.