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Finding the Third Proportional to 132,716.25 and 211,096.50

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Solution

The third proportional to 132,716.25 and 211,096.50 is: 335,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,716.25 : 211,096.50 = 211,096.50 : x
  2. Step 2: Convert to fraction form
    132,716.25/211,096.50 = 211,096.50/x
  3. Step 3: Cross multiply
    132,716.25x = 211,096.50 × 211,096.50
  4. Step 4: Simplify right side
    132,716.25x = 44,561,732,312.25
  5. Step 5: Solve for x
    x = 44,561,732,312.25/132,716.25
  6. Step 6: Final answer
    x = 335,766.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.