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Finding the Third Proportional to 75,323.25 and 116,633.25

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Solution

The third proportional to 75,323.25 and 116,633.25 is: 180,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,323.25 : 116,633.25 = 116,633.25 : x
  2. Step 2: Convert to fraction form
    75,323.25/116,633.25 = 116,633.25/x
  3. Step 3: Cross multiply
    75,323.25x = 116,633.25 × 116,633.25
  4. Step 4: Simplify right side
    75,323.25x = 13,603,315,005.56
  5. Step 5: Solve for x
    x = 13,603,315,005.56/75,323.25
  6. Step 6: Final answer
    x = 180,599.15

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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.