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Finding the Third Proportional to 67,561.50 and 156,409.50

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Solution

The third proportional to 67,561.50 and 156,409.50 is: 362,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,561.50 : 156,409.50 = 156,409.50 : x
  2. Step 2: Convert to fraction form
    67,561.50/156,409.50 = 156,409.50/x
  3. Step 3: Cross multiply
    67,561.50x = 156,409.50 × 156,409.50
  4. Step 4: Simplify right side
    67,561.50x = 24,463,931,690.25
  5. Step 5: Solve for x
    x = 24,463,931,690.25/67,561.50
  6. Step 6: Final answer
    x = 362,098.71

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.