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Finding the Third Proportional to 45,923 and 93,787

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Solution

The third proportional to 45,923 and 93,787 is: 191,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,923 : 93,787 = 93,787 : x
  2. Step 2: Convert to fraction form
    45,923/93,787 = 93,787/x
  3. Step 3: Cross multiply
    45,923x = 93,787 × 93,787
  4. Step 4: Simplify right side
    45,923x = 8,796,001,369
  5. Step 5: Solve for x
    x = 8,796,001,369/45,923
  6. Step 6: Final answer
    x = 191,538.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.