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Finding the Third Proportional to 95,918 and 150,468

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Solution

The third proportional to 95,918 and 150,468 is: 236,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,918 : 150,468 = 150,468 : x
  2. Step 2: Convert to fraction form
    95,918/150,468 = 150,468/x
  3. Step 3: Cross multiply
    95,918x = 150,468 × 150,468
  4. Step 4: Simplify right side
    95,918x = 22,640,619,024
  5. Step 5: Solve for x
    x = 22,640,619,024/95,918
  6. Step 6: Final answer
    x = 236,041.40

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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.