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Finding the Third Proportional to 82,650.38 and 115,364.25

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Solution

The third proportional to 82,650.38 and 115,364.25 is: 161,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,650.38 : 115,364.25 = 115,364.25 : x
  2. Step 2: Convert to fraction form
    82,650.38/115,364.25 = 115,364.25/x
  3. Step 3: Cross multiply
    82,650.38x = 115,364.25 × 115,364.25
  4. Step 4: Simplify right side
    82,650.38x = 13,308,910,178.06
  5. Step 5: Solve for x
    x = 13,308,910,178.06/82,650.38
  6. Step 6: Final answer
    x = 161,026.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.