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Finding the Third Proportional to 53,569.59 and 115,201.22

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Solution

The third proportional to 53,569.59 and 115,201.22 is: 247,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,569.59 : 115,201.22 = 115,201.22 : x
  2. Step 2: Convert to fraction form
    53,569.59/115,201.22 = 115,201.22/x
  3. Step 3: Cross multiply
    53,569.59x = 115,201.22 × 115,201.22
  4. Step 4: Simplify right side
    53,569.59x = 13,271,320,801.49
  5. Step 5: Solve for x
    x = 13,271,320,801.49/53,569.59
  6. Step 6: Final answer
    x = 247,739.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.