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Finding the Third Proportional to 53,745.75 and 113,897.81

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Solution

The third proportional to 53,745.75 and 113,897.81 is: 241,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,745.75 : 113,897.81 = 113,897.81 : x
  2. Step 2: Convert to fraction form
    53,745.75/113,897.81 = 113,897.81/x
  3. Step 3: Cross multiply
    53,745.75x = 113,897.81 × 113,897.81
  4. Step 4: Simplify right side
    53,745.75x = 12,972,711,692.29
  5. Step 5: Solve for x
    x = 12,972,711,692.29/53,745.75
  6. Step 6: Final answer
    x = 241,371.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.