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Finding the Third Proportional to 53,897.06 and 111,251.81

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Solution

The third proportional to 53,897.06 and 111,251.81 is: 229,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,897.06 : 111,251.81 = 111,251.81 : x
  2. Step 2: Convert to fraction form
    53,897.06/111,251.81 = 111,251.81/x
  3. Step 3: Cross multiply
    53,897.06x = 111,251.81 × 111,251.81
  4. Step 4: Simplify right side
    53,897.06x = 12,376,965,784.54
  5. Step 5: Solve for x
    x = 12,376,965,784.54/53,897.06
  6. Step 6: Final answer
    x = 229,640.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.