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Finding the Third Proportional to 52,557.75 and 81,605.25

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Solution

The third proportional to 52,557.75 and 81,605.25 is: 126,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,557.75 : 81,605.25 = 81,605.25 : x
  2. Step 2: Convert to fraction form
    52,557.75/81,605.25 = 81,605.25/x
  3. Step 3: Cross multiply
    52,557.75x = 81,605.25 × 81,605.25
  4. Step 4: Simplify right side
    52,557.75x = 6,659,416,827.56
  5. Step 5: Solve for x
    x = 6,659,416,827.56/52,557.75
  6. Step 6: Final answer
    x = 126,706.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.