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Finding the Third Proportional to 53,692.88 and 81,951.75

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Solution

The third proportional to 53,692.88 and 81,951.75 is: 125,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692.88 : 81,951.75 = 81,951.75 : x
  2. Step 2: Convert to fraction form
    53,692.88/81,951.75 = 81,951.75/x
  3. Step 3: Cross multiply
    53,692.88x = 81,951.75 × 81,951.75
  4. Step 4: Simplify right side
    53,692.88x = 6,716,089,328.06
  5. Step 5: Solve for x
    x = 6,716,089,328.06/53,692.88
  6. Step 6: Final answer
    x = 125,083.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.