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Finding the Third Proportional to 74,781 and 158,004

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Solution

The third proportional to 74,781 and 158,004 is: 333,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,781 : 158,004 = 158,004 : x
  2. Step 2: Convert to fraction form
    74,781/158,004 = 158,004/x
  3. Step 3: Cross multiply
    74,781x = 158,004 × 158,004
  4. Step 4: Simplify right side
    74,781x = 24,965,264,016
  5. Step 5: Solve for x
    x = 24,965,264,016/74,781
  6. Step 6: Final answer
    x = 333,845.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.