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Finding the Third Proportional to 53,238.09 and 117,277.88

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Solution

The third proportional to 53,238.09 and 117,277.88 is: 258,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,238.09 : 117,277.88 = 117,277.88 : x
  2. Step 2: Convert to fraction form
    53,238.09/117,277.88 = 117,277.88/x
  3. Step 3: Cross multiply
    53,238.09x = 117,277.88 × 117,277.88
  4. Step 4: Simplify right side
    53,238.09x = 13,754,099,964.52
  5. Step 5: Solve for x
    x = 13,754,099,964.52/53,238.09
  6. Step 6: Final answer
    x = 258,350.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.