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Finding the Third Proportional to 95,070.74 and 142,309.96

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Solution

The third proportional to 95,070.74 and 142,309.96 is: 213,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,070.74 : 142,309.96 = 142,309.96 : x
  2. Step 2: Convert to fraction form
    95,070.74/142,309.96 = 142,309.96/x
  3. Step 3: Cross multiply
    95,070.74x = 142,309.96 × 142,309.96
  4. Step 4: Simplify right side
    95,070.74x = 20,252,124,704.08
  5. Step 5: Solve for x
    x = 20,252,124,704.08/95,070.74
  6. Step 6: Final answer
    x = 213,021.63

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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.