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Finding the Third Proportional to 72,661.50 and 156,456

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Solution

The third proportional to 72,661.50 and 156,456 is: 336,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,661.50 : 156,456 = 156,456 : x
  2. Step 2: Convert to fraction form
    72,661.50/156,456 = 156,456/x
  3. Step 3: Cross multiply
    72,661.50x = 156,456 × 156,456
  4. Step 4: Simplify right side
    72,661.50x = 24,478,479,936
  5. Step 5: Solve for x
    x = 24,478,479,936/72,661.50
  6. Step 6: Final answer
    x = 336,883.77

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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.