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Finding the Third Proportional to 53,922.38 and 115,651.13

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Solution

The third proportional to 53,922.38 and 115,651.13 is: 248,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,922.38 : 115,651.13 = 115,651.13 : x
  2. Step 2: Convert to fraction form
    53,922.38/115,651.13 = 115,651.13/x
  3. Step 3: Cross multiply
    53,922.38x = 115,651.13 × 115,651.13
  4. Step 4: Simplify right side
    53,922.38x = 13,375,182,713.77
  5. Step 5: Solve for x
    x = 13,375,182,713.77/53,922.38
  6. Step 6: Final answer
    x = 248,045.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.