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Finding the Third Proportional to 95,008 and 150,434

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Solution

The third proportional to 95,008 and 150,434 is: 238,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,008 : 150,434 = 150,434 : x
  2. Step 2: Convert to fraction form
    95,008/150,434 = 150,434/x
  3. Step 3: Cross multiply
    95,008x = 150,434 × 150,434
  4. Step 4: Simplify right side
    95,008x = 22,630,388,356
  5. Step 5: Solve for x
    x = 22,630,388,356/95,008
  6. Step 6: Final answer
    x = 238,194.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.