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Finding the Third Proportional to 93,847.50 and 107,383.50

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Solution

The third proportional to 93,847.50 and 107,383.50 is: 122,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,847.50 : 107,383.50 = 107,383.50 : x
  2. Step 2: Convert to fraction form
    93,847.50/107,383.50 = 107,383.50/x
  3. Step 3: Cross multiply
    93,847.50x = 107,383.50 × 107,383.50
  4. Step 4: Simplify right side
    93,847.50x = 11,531,216,072.25
  5. Step 5: Solve for x
    x = 11,531,216,072.25/93,847.50
  6. Step 6: Final answer
    x = 122,871.85

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.