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Finding the Third Proportional to 80,515 and 116,128.50

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Solution

The third proportional to 80,515 and 116,128.50 is: 167,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,515 : 116,128.50 = 116,128.50 : x
  2. Step 2: Convert to fraction form
    80,515/116,128.50 = 116,128.50/x
  3. Step 3: Cross multiply
    80,515x = 116,128.50 × 116,128.50
  4. Step 4: Simplify right side
    80,515x = 13,485,828,512.25
  5. Step 5: Solve for x
    x = 13,485,828,512.25/80,515
  6. Step 6: Final answer
    x = 167,494.61

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.