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Finding the Third Proportional to 116,044.75 and 156,570.75

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Solution

The third proportional to 116,044.75 and 156,570.75 is: 211,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,044.75 : 156,570.75 = 156,570.75 : x
  2. Step 2: Convert to fraction form
    116,044.75/156,570.75 = 156,570.75/x
  3. Step 3: Cross multiply
    116,044.75x = 156,570.75 × 156,570.75
  4. Step 4: Simplify right side
    116,044.75x = 24,514,399,755.56
  5. Step 5: Solve for x
    x = 24,514,399,755.56/116,044.75
  6. Step 6: Final answer
    x = 211,249.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.