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Finding the Third Proportional to 71,234.50 and 109,935.50

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Solution

The third proportional to 71,234.50 and 109,935.50 is: 169,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,234.50 : 109,935.50 = 109,935.50 : x
  2. Step 2: Convert to fraction form
    71,234.50/109,935.50 = 109,935.50/x
  3. Step 3: Cross multiply
    71,234.50x = 109,935.50 × 109,935.50
  4. Step 4: Simplify right side
    71,234.50x = 12,085,814,160.25
  5. Step 5: Solve for x
    x = 12,085,814,160.25/71,234.50
  6. Step 6: Final answer
    x = 169,662.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.