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Finding the Third Proportional to 95,071.50 and 142,311

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Solution

The third proportional to 95,071.50 and 142,311 is: 213,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,071.50 : 142,311 = 142,311 : x
  2. Step 2: Convert to fraction form
    95,071.50/142,311 = 142,311/x
  3. Step 3: Cross multiply
    95,071.50x = 142,311 × 142,311
  4. Step 4: Simplify right side
    95,071.50x = 20,252,420,721
  5. Step 5: Solve for x
    x = 20,252,420,721/95,071.50
  6. Step 6: Final answer
    x = 213,023.05

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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.