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Finding the Third Proportional to 50,317 and 93,500

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Solution

The third proportional to 50,317 and 93,500 is: 173,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,317 : 93,500 = 93,500 : x
  2. Step 2: Convert to fraction form
    50,317/93,500 = 93,500/x
  3. Step 3: Cross multiply
    50,317x = 93,500 × 93,500
  4. Step 4: Simplify right side
    50,317x = 8,742,250,000
  5. Step 5: Solve for x
    x = 8,742,250,000/50,317
  6. Step 6: Final answer
    x = 173,743.47

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.