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Finding the Third Proportional to 36,392.25 and 77,158.50

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Solution

The third proportional to 36,392.25 and 77,158.50 is: 163,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,392.25 : 77,158.50 = 77,158.50 : x
  2. Step 2: Convert to fraction form
    36,392.25/77,158.50 = 77,158.50/x
  3. Step 3: Cross multiply
    36,392.25x = 77,158.50 × 77,158.50
  4. Step 4: Simplify right side
    36,392.25x = 5,953,434,122.25
  5. Step 5: Solve for x
    x = 5,953,434,122.25/36,392.25
  6. Step 6: Final answer
    x = 163,590.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.