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Finding the Third Proportional to 95,076.75 and 142,317.75

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Solution

The third proportional to 95,076.75 and 142,317.75 is: 213,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,076.75 : 142,317.75 = 142,317.75 : x
  2. Step 2: Convert to fraction form
    95,076.75/142,317.75 = 142,317.75/x
  3. Step 3: Cross multiply
    95,076.75x = 142,317.75 × 142,317.75
  4. Step 4: Simplify right side
    95,076.75x = 20,254,341,965.06
  5. Step 5: Solve for x
    x = 20,254,341,965.06/95,076.75
  6. Step 6: Final answer
    x = 213,031.49

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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.