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Finding the Third Proportional to 95,907 and 143,572.50

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Solution

The third proportional to 95,907 and 143,572.50 is: 214,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,907 : 143,572.50 = 143,572.50 : x
  2. Step 2: Convert to fraction form
    95,907/143,572.50 = 143,572.50/x
  3. Step 3: Cross multiply
    95,907x = 143,572.50 × 143,572.50
  4. Step 4: Simplify right side
    95,907x = 20,613,062,756.25
  5. Step 5: Solve for x
    x = 20,613,062,756.25/95,907
  6. Step 6: Final answer
    x = 214,927.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.