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Finding the Third Proportional to 118,102.13 and 177,153.75

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Solution

The third proportional to 118,102.13 and 177,153.75 is: 265,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,102.13 : 177,153.75 = 177,153.75 : x
  2. Step 2: Convert to fraction form
    118,102.13/177,153.75 = 177,153.75/x
  3. Step 3: Cross multiply
    118,102.13x = 177,153.75 × 177,153.75
  4. Step 4: Simplify right side
    118,102.13x = 31,383,451,139.06
  5. Step 5: Solve for x
    x = 31,383,451,139.06/118,102.13
  6. Step 6: Final answer
    x = 265,731.47

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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.