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Finding the Third Proportional to 71,291.25 and 99,672.75

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Solution

The third proportional to 71,291.25 and 99,672.75 is: 139,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291.25 : 99,672.75 = 99,672.75 : x
  2. Step 2: Convert to fraction form
    71,291.25/99,672.75 = 99,672.75/x
  3. Step 3: Cross multiply
    71,291.25x = 99,672.75 × 99,672.75
  4. Step 4: Simplify right side
    71,291.25x = 9,934,657,092.56
  5. Step 5: Solve for x
    x = 9,934,657,092.56/71,291.25
  6. Step 6: Final answer
    x = 139,353.11

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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.