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Finding the Third Proportional to 50,234 and 80,295

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Solution

The third proportional to 50,234 and 80,295 is: 128,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,234 : 80,295 = 80,295 : x
  2. Step 2: Convert to fraction form
    50,234/80,295 = 80,295/x
  3. Step 3: Cross multiply
    50,234x = 80,295 × 80,295
  4. Step 4: Simplify right side
    50,234x = 6,447,287,025
  5. Step 5: Solve for x
    x = 6,447,287,025/50,234
  6. Step 6: Final answer
    x = 128,345.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.