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Finding the Third Proportional to 95,912 and 150,454

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Solution

The third proportional to 95,912 and 150,454 is: 236,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,912 : 150,454 = 150,454 : x
  2. Step 2: Convert to fraction form
    95,912/150,454 = 150,454/x
  3. Step 3: Cross multiply
    95,912x = 150,454 × 150,454
  4. Step 4: Simplify right side
    95,912x = 22,636,406,116
  5. Step 5: Solve for x
    x = 22,636,406,116/95,912
  6. Step 6: Final answer
    x = 236,012.24

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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.