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Finding the Third Proportional to 72,991.97 and 156,895.31

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Solution

The third proportional to 72,991.97 and 156,895.31 is: 337,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991.97 : 156,895.31 = 156,895.31 : x
  2. Step 2: Convert to fraction form
    72,991.97/156,895.31 = 156,895.31/x
  3. Step 3: Cross multiply
    72,991.97x = 156,895.31 × 156,895.31
  4. Step 4: Simplify right side
    72,991.97x = 24,616,139,084.47
  5. Step 5: Solve for x
    x = 24,616,139,084.47/72,991.97
  6. Step 6: Final answer
    x = 337,244.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.