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Finding the Third Proportional to 74,642 and 115,569

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Solution

The third proportional to 74,642 and 115,569 is: 178,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,642 : 115,569 = 115,569 : x
  2. Step 2: Convert to fraction form
    74,642/115,569 = 115,569/x
  3. Step 3: Cross multiply
    74,642x = 115,569 × 115,569
  4. Step 4: Simplify right side
    74,642x = 13,356,193,761
  5. Step 5: Solve for x
    x = 13,356,193,761/74,642
  6. Step 6: Final answer
    x = 178,936.71

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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.