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Finding the Third Proportional to 53,151 and 115,643.25

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Solution

The third proportional to 53,151 and 115,643.25 is: 251,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,151 : 115,643.25 = 115,643.25 : x
  2. Step 2: Convert to fraction form
    53,151/115,643.25 = 115,643.25/x
  3. Step 3: Cross multiply
    53,151x = 115,643.25 × 115,643.25
  4. Step 4: Simplify right side
    53,151x = 13,373,361,270.56
  5. Step 5: Solve for x
    x = 13,373,361,270.56/53,151
  6. Step 6: Final answer
    x = 251,610.72

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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.