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Finding the Third Proportional to 52,635.75 and 74,131.50

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Solution

The third proportional to 52,635.75 and 74,131.50 is: 104,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,635.75 : 74,131.50 = 74,131.50 : x
  2. Step 2: Convert to fraction form
    52,635.75/74,131.50 = 74,131.50/x
  3. Step 3: Cross multiply
    52,635.75x = 74,131.50 × 74,131.50
  4. Step 4: Simplify right side
    52,635.75x = 5,495,479,292.25
  5. Step 5: Solve for x
    x = 5,495,479,292.25/52,635.75
  6. Step 6: Final answer
    x = 104,405.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.