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Finding the Third Proportional to 57,834 and 95,590.13

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Solution

The third proportional to 57,834 and 95,590.13 is: 157,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,834 : 95,590.13 = 95,590.13 : x
  2. Step 2: Convert to fraction form
    57,834/95,590.13 = 95,590.13/x
  3. Step 3: Cross multiply
    57,834x = 95,590.13 × 95,590.13
  4. Step 4: Simplify right side
    57,834x = 9,137,471,997.52
  5. Step 5: Solve for x
    x = 9,137,471,997.52/57,834
  6. Step 6: Final answer
    x = 157,994.81

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.