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Finding the Third Proportional to 77,520.38 and 116,279.25

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Solution

The third proportional to 77,520.38 and 116,279.25 is: 174,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,520.38 : 116,279.25 = 116,279.25 : x
  2. Step 2: Convert to fraction form
    77,520.38/116,279.25 = 116,279.25/x
  3. Step 3: Cross multiply
    77,520.38x = 116,279.25 × 116,279.25
  4. Step 4: Simplify right side
    77,520.38x = 13,520,863,980.56
  5. Step 5: Solve for x
    x = 13,520,863,980.56/77,520.38
  6. Step 6: Final answer
    x = 174,416.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.