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Finding the Third Proportional to 73,367.50 and 116,708.50

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Solution

The third proportional to 73,367.50 and 116,708.50 is: 185,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,367.50 : 116,708.50 = 116,708.50 : x
  2. Step 2: Convert to fraction form
    73,367.50/116,708.50 = 116,708.50/x
  3. Step 3: Cross multiply
    73,367.50x = 116,708.50 × 116,708.50
  4. Step 4: Simplify right side
    73,367.50x = 13,620,873,972.25
  5. Step 5: Solve for x
    x = 13,620,873,972.25/73,367.50
  6. Step 6: Final answer
    x = 185,652.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.