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Finding the Third Proportional to 72,994.50 and 156,900

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Solution

The third proportional to 72,994.50 and 156,900 is: 337,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,994.50 : 156,900 = 156,900 : x
  2. Step 2: Convert to fraction form
    72,994.50/156,900 = 156,900/x
  3. Step 3: Cross multiply
    72,994.50x = 156,900 × 156,900
  4. Step 4: Simplify right side
    72,994.50x = 24,617,610,000
  5. Step 5: Solve for x
    x = 24,617,610,000/72,994.50
  6. Step 6: Final answer
    x = 337,252.94

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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.