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Finding the Third Proportional to 73,723.50 and 113,323.50

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Solution

The third proportional to 73,723.50 and 113,323.50 is: 174,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,723.50 : 113,323.50 = 113,323.50 : x
  2. Step 2: Convert to fraction form
    73,723.50/113,323.50 = 113,323.50/x
  3. Step 3: Cross multiply
    73,723.50x = 113,323.50 × 113,323.50
  4. Step 4: Simplify right side
    73,723.50x = 12,842,215,652.25
  5. Step 5: Solve for x
    x = 12,842,215,652.25/73,723.50
  6. Step 6: Final answer
    x = 174,194.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.