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Finding the Third Proportional to 73,091 and 157,462

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Solution

The third proportional to 73,091 and 157,462 is: 339,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,091 : 157,462 = 157,462 : x
  2. Step 2: Convert to fraction form
    73,091/157,462 = 157,462/x
  3. Step 3: Cross multiply
    73,091x = 157,462 × 157,462
  4. Step 4: Simplify right side
    73,091x = 24,794,281,444
  5. Step 5: Solve for x
    x = 24,794,281,444/73,091
  6. Step 6: Final answer
    x = 339,224.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.