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Finding the Third Proportional to 74,264 and 115,170

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Solution

The third proportional to 74,264 and 115,170 is: 178,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,264 : 115,170 = 115,170 : x
  2. Step 2: Convert to fraction form
    74,264/115,170 = 115,170/x
  3. Step 3: Cross multiply
    74,264x = 115,170 × 115,170
  4. Step 4: Simplify right side
    74,264x = 13,264,128,900
  5. Step 5: Solve for x
    x = 13,264,128,900/74,264
  6. Step 6: Final answer
    x = 178,607.79

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