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Finding the Third Proportional to 74,274 and 115,063

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Solution

The third proportional to 74,274 and 115,063 is: 178,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,274 : 115,063 = 115,063 : x
  2. Step 2: Convert to fraction form
    74,274/115,063 = 115,063/x
  3. Step 3: Cross multiply
    74,274x = 115,063 × 115,063
  4. Step 4: Simplify right side
    74,274x = 13,239,493,969
  5. Step 5: Solve for x
    x = 13,239,493,969/74,274
  6. Step 6: Final answer
    x = 178,252.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.