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Finding the Third Proportional to 73,226.25 and 117,209.81

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Solution

The third proportional to 73,226.25 and 117,209.81 is: 187,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,226.25 : 117,209.81 = 117,209.81 : x
  2. Step 2: Convert to fraction form
    73,226.25/117,209.81 = 117,209.81/x
  3. Step 3: Cross multiply
    73,226.25x = 117,209.81 × 117,209.81
  4. Step 4: Simplify right side
    73,226.25x = 13,738,140,146.29
  5. Step 5: Solve for x
    x = 13,738,140,146.29/73,226.25
  6. Step 6: Final answer
    x = 187,612.23

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.