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Finding the Third Proportional to 73,206 and 158,004

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Solution

The third proportional to 73,206 and 158,004 is: 341,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206 : 158,004 = 158,004 : x
  2. Step 2: Convert to fraction form
    73,206/158,004 = 158,004/x
  3. Step 3: Cross multiply
    73,206x = 158,004 × 158,004
  4. Step 4: Simplify right side
    73,206x = 24,965,264,016
  5. Step 5: Solve for x
    x = 24,965,264,016/73,206
  6. Step 6: Final answer
    x = 341,027.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.