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Finding the Third Proportional to 50,708 and 95,071

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Solution

The third proportional to 50,708 and 95,071 is: 178,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,708 : 95,071 = 95,071 : x
  2. Step 2: Convert to fraction form
    50,708/95,071 = 95,071/x
  3. Step 3: Cross multiply
    50,708x = 95,071 × 95,071
  4. Step 4: Simplify right side
    50,708x = 9,038,495,041
  5. Step 5: Solve for x
    x = 9,038,495,041/50,708
  6. Step 6: Final answer
    x = 178,245.94

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.