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Finding the Third Proportional to 70,944.50 and 105,800.50

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Solution

The third proportional to 70,944.50 and 105,800.50 is: 157,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,944.50 : 105,800.50 = 105,800.50 : x
  2. Step 2: Convert to fraction form
    70,944.50/105,800.50 = 105,800.50/x
  3. Step 3: Cross multiply
    70,944.50x = 105,800.50 × 105,800.50
  4. Step 4: Simplify right side
    70,944.50x = 11,193,745,800.25
  5. Step 5: Solve for x
    x = 11,193,745,800.25/70,944.50
  6. Step 6: Final answer
    x = 157,781.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.