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Finding the Third Proportional to 74,019 and 158,614

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Solution

The third proportional to 74,019 and 158,614 is: 339,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,019 : 158,614 = 158,614 : x
  2. Step 2: Convert to fraction form
    74,019/158,614 = 158,614/x
  3. Step 3: Cross multiply
    74,019x = 158,614 × 158,614
  4. Step 4: Simplify right side
    74,019x = 25,158,400,996
  5. Step 5: Solve for x
    x = 25,158,400,996/74,019
  6. Step 6: Final answer
    x = 339,891.12

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Why These Related Problems?

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