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Finding the Third Proportional to 71,671.50 and 150,314.06

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Solution

The third proportional to 71,671.50 and 150,314.06 is: 315,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,671.50 : 150,314.06 = 150,314.06 : x
  2. Step 2: Convert to fraction form
    71,671.50/150,314.06 = 150,314.06/x
  3. Step 3: Cross multiply
    71,671.50x = 150,314.06 × 150,314.06
  4. Step 4: Simplify right side
    71,671.50x = 22,594,317,385.25
  5. Step 5: Solve for x
    x = 22,594,317,385.25/71,671.50
  6. Step 6: Final answer
    x = 315,248.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.