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Finding the Third Proportional to 93,682.50 and 135,420.75

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Solution

The third proportional to 93,682.50 and 135,420.75 is: 195,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,682.50 : 135,420.75 = 135,420.75 : x
  2. Step 2: Convert to fraction form
    93,682.50/135,420.75 = 135,420.75/x
  3. Step 3: Cross multiply
    93,682.50x = 135,420.75 × 135,420.75
  4. Step 4: Simplify right side
    93,682.50x = 18,338,779,530.56
  5. Step 5: Solve for x
    x = 18,338,779,530.56/93,682.50
  6. Step 6: Final answer
    x = 195,754.59

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.