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Finding the Third Proportional to 43,333.50 and 93,134.75

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Solution

The third proportional to 43,333.50 and 93,134.75 is: 200,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,333.50 : 93,134.75 = 93,134.75 : x
  2. Step 2: Convert to fraction form
    43,333.50/93,134.75 = 93,134.75/x
  3. Step 3: Cross multiply
    43,333.50x = 93,134.75 × 93,134.75
  4. Step 4: Simplify right side
    43,333.50x = 8,674,081,657.56
  5. Step 5: Solve for x
    x = 8,674,081,657.56/43,333.50
  6. Step 6: Final answer
    x = 200,170.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.