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Finding the Third Proportional to 97,189 and 158,701

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Solution

The third proportional to 97,189 and 158,701 is: 259,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,189 : 158,701 = 158,701 : x
  2. Step 2: Convert to fraction form
    97,189/158,701 = 158,701/x
  3. Step 3: Cross multiply
    97,189x = 158,701 × 158,701
  4. Step 4: Simplify right side
    97,189x = 25,186,007,401
  5. Step 5: Solve for x
    x = 25,186,007,401/97,189
  6. Step 6: Final answer
    x = 259,144.63

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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.