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Finding the Third Proportional to 42,727.50 and 93,500.25

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Solution

The third proportional to 42,727.50 and 93,500.25 is: 204,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,727.50 : 93,500.25 = 93,500.25 : x
  2. Step 2: Convert to fraction form
    42,727.50/93,500.25 = 93,500.25/x
  3. Step 3: Cross multiply
    42,727.50x = 93,500.25 × 93,500.25
  4. Step 4: Simplify right side
    42,727.50x = 8,742,296,750.06
  5. Step 5: Solve for x
    x = 8,742,296,750.06/42,727.50
  6. Step 6: Final answer
    x = 204,605.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.