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Finding the Third Proportional to 58,222.97 and 82,402.31

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Solution

The third proportional to 58,222.97 and 82,402.31 is: 116,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,222.97 : 82,402.31 = 82,402.31 : x
  2. Step 2: Convert to fraction form
    58,222.97/82,402.31 = 82,402.31/x
  3. Step 3: Cross multiply
    58,222.97x = 82,402.31 × 82,402.31
  4. Step 4: Simplify right side
    58,222.97x = 6,790,141,105.35
  5. Step 5: Solve for x
    x = 6,790,141,105.35/58,222.97
  6. Step 6: Final answer
    x = 116,623.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.