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Finding the Third Proportional to 73,095.75 and 116,295.75

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Solution

The third proportional to 73,095.75 and 116,295.75 is: 185,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,095.75 : 116,295.75 = 116,295.75 : x
  2. Step 2: Convert to fraction form
    73,095.75/116,295.75 = 116,295.75/x
  3. Step 3: Cross multiply
    73,095.75x = 116,295.75 × 116,295.75
  4. Step 4: Simplify right side
    73,095.75x = 13,524,701,468.06
  5. Step 5: Solve for x
    x = 13,524,701,468.06/73,095.75
  6. Step 6: Final answer
    x = 185,027.19

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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.