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Finding the Third Proportional to 97,191 and 158,704

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Solution

The third proportional to 97,191 and 158,704 is: 259,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,191 : 158,704 = 158,704 : x
  2. Step 2: Convert to fraction form
    97,191/158,704 = 158,704/x
  3. Step 3: Cross multiply
    97,191x = 158,704 × 158,704
  4. Step 4: Simplify right side
    97,191x = 25,186,959,616
  5. Step 5: Solve for x
    x = 25,186,959,616/97,191
  6. Step 6: Final answer
    x = 259,149.09

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.