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Finding the Third Proportional to 74,012 and 158,600

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Solution

The third proportional to 74,012 and 158,600 is: 339,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,012 : 158,600 = 158,600 : x
  2. Step 2: Convert to fraction form
    74,012/158,600 = 158,600/x
  3. Step 3: Cross multiply
    74,012x = 158,600 × 158,600
  4. Step 4: Simplify right side
    74,012x = 25,153,960,000
  5. Step 5: Solve for x
    x = 25,153,960,000/74,012
  6. Step 6: Final answer
    x = 339,863.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.