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Finding the Third Proportional to 53,005.13 and 115,212.56

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Solution

The third proportional to 53,005.13 and 115,212.56 is: 250,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,005.13 : 115,212.56 = 115,212.56 : x
  2. Step 2: Convert to fraction form
    53,005.13/115,212.56 = 115,212.56/x
  3. Step 3: Cross multiply
    53,005.13x = 115,212.56 × 115,212.56
  4. Step 4: Simplify right side
    53,005.13x = 13,273,934,557.82
  5. Step 5: Solve for x
    x = 13,273,934,557.82/53,005.13
  6. Step 6: Final answer
    x = 250,427.38

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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.