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Finding the Third Proportional to 43,144 and 91,430

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Solution

The third proportional to 43,144 and 91,430 is: 193,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,144 : 91,430 = 91,430 : x
  2. Step 2: Convert to fraction form
    43,144/91,430 = 91,430/x
  3. Step 3: Cross multiply
    43,144x = 91,430 × 91,430
  4. Step 4: Simplify right side
    43,144x = 8,359,444,900
  5. Step 5: Solve for x
    x = 8,359,444,900/43,144
  6. Step 6: Final answer
    x = 193,756.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.