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Finding the Third Proportional to 95,915 and 150,458

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Solution

The third proportional to 95,915 and 150,458 is: 236,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,915 : 150,458 = 150,458 : x
  2. Step 2: Convert to fraction form
    95,915/150,458 = 150,458/x
  3. Step 3: Cross multiply
    95,915x = 150,458 × 150,458
  4. Step 4: Simplify right side
    95,915x = 22,637,609,764
  5. Step 5: Solve for x
    x = 22,637,609,764/95,915
  6. Step 6: Final answer
    x = 236,017.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.