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Finding the Third Proportional to 53,291.25 and 115,121.25

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Solution

The third proportional to 53,291.25 and 115,121.25 is: 248,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,291.25 : 115,121.25 = 115,121.25 : x
  2. Step 2: Convert to fraction form
    53,291.25/115,121.25 = 115,121.25/x
  3. Step 3: Cross multiply
    53,291.25x = 115,121.25 × 115,121.25
  4. Step 4: Simplify right side
    53,291.25x = 13,252,902,201.56
  5. Step 5: Solve for x
    x = 13,252,902,201.56/53,291.25
  6. Step 6: Final answer
    x = 248,688.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.