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Finding the Third Proportional to 118,050 and 178,063

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Solution

The third proportional to 118,050 and 178,063 is: 268,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,050 : 178,063 = 178,063 : x
  2. Step 2: Convert to fraction form
    118,050/178,063 = 178,063/x
  3. Step 3: Cross multiply
    118,050x = 178,063 × 178,063
  4. Step 4: Simplify right side
    118,050x = 31,706,431,969
  5. Step 5: Solve for x
    x = 31,706,431,969/118,050
  6. Step 6: Final answer
    x = 268,584.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.