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Finding the Third Proportional to 139,753.50 and 197,561.25

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Solution

The third proportional to 139,753.50 and 197,561.25 is: 279,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,753.50 : 197,561.25 = 197,561.25 : x
  2. Step 2: Convert to fraction form
    139,753.50/197,561.25 = 197,561.25/x
  3. Step 3: Cross multiply
    139,753.50x = 197,561.25 × 197,561.25
  4. Step 4: Simplify right side
    139,753.50x = 39,030,447,501.56
  5. Step 5: Solve for x
    x = 39,030,447,501.56/139,753.50
  6. Step 6: Final answer
    x = 279,280.64

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.