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Finding the Third Proportional to 97,240 and 158,782

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Solution

The third proportional to 97,240 and 158,782 is: 259,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,240 : 158,782 = 158,782 : x
  2. Step 2: Convert to fraction form
    97,240/158,782 = 158,782/x
  3. Step 3: Cross multiply
    97,240x = 158,782 × 158,782
  4. Step 4: Simplify right side
    97,240x = 25,211,723,524
  5. Step 5: Solve for x
    x = 25,211,723,524/97,240
  6. Step 6: Final answer
    x = 259,273.17

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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.