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Finding the Third Proportional to 73,884.50 and 114,290.50

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Solution

The third proportional to 73,884.50 and 114,290.50 is: 176,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,884.50 : 114,290.50 = 114,290.50 : x
  2. Step 2: Convert to fraction form
    73,884.50/114,290.50 = 114,290.50/x
  3. Step 3: Cross multiply
    73,884.50x = 114,290.50 × 114,290.50
  4. Step 4: Simplify right side
    73,884.50x = 13,062,318,390.25
  5. Step 5: Solve for x
    x = 13,062,318,390.25/73,884.50
  6. Step 6: Final answer
    x = 176,793.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.