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Finding the Third Proportional to 53,009 and 115,726

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Solution

The third proportional to 53,009 and 115,726 is: 252,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,009 : 115,726 = 115,726 : x
  2. Step 2: Convert to fraction form
    53,009/115,726 = 115,726/x
  3. Step 3: Cross multiply
    53,009x = 115,726 × 115,726
  4. Step 4: Simplify right side
    53,009x = 13,392,507,076
  5. Step 5: Solve for x
    x = 13,392,507,076/53,009
  6. Step 6: Final answer
    x = 252,645.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.