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Finding the Third Proportional to 71,867.25 and 102,910.50

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Solution

The third proportional to 71,867.25 and 102,910.50 is: 147,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,867.25 : 102,910.50 = 102,910.50 : x
  2. Step 2: Convert to fraction form
    71,867.25/102,910.50 = 102,910.50/x
  3. Step 3: Cross multiply
    71,867.25x = 102,910.50 × 102,910.50
  4. Step 4: Simplify right side
    71,867.25x = 10,590,571,010.25
  5. Step 5: Solve for x
    x = 10,590,571,010.25/71,867.25
  6. Step 6: Final answer
    x = 147,362.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.