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Finding the Third Proportional to 92,811 and 141,392.75

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Solution

The third proportional to 92,811 and 141,392.75 is: 215,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,811 : 141,392.75 = 141,392.75 : x
  2. Step 2: Convert to fraction form
    92,811/141,392.75 = 141,392.75/x
  3. Step 3: Cross multiply
    92,811x = 141,392.75 × 141,392.75
  4. Step 4: Simplify right side
    92,811x = 19,991,909,752.56
  5. Step 5: Solve for x
    x = 19,991,909,752.56/92,811
  6. Step 6: Final answer
    x = 215,404.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.