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Finding the Third Proportional to 71,883 and 156,361.50

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Solution

The third proportional to 71,883 and 156,361.50 is: 340,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,883 : 156,361.50 = 156,361.50 : x
  2. Step 2: Convert to fraction form
    71,883/156,361.50 = 156,361.50/x
  3. Step 3: Cross multiply
    71,883x = 156,361.50 × 156,361.50
  4. Step 4: Simplify right side
    71,883x = 24,448,918,682.25
  5. Step 5: Solve for x
    x = 24,448,918,682.25/71,883
  6. Step 6: Final answer
    x = 340,121.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.