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Finding the Third Proportional to 50,700 and 76,206

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Solution

The third proportional to 50,700 and 76,206 is: 114,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,700 : 76,206 = 76,206 : x
  2. Step 2: Convert to fraction form
    50,700/76,206 = 76,206/x
  3. Step 3: Cross multiply
    50,700x = 76,206 × 76,206
  4. Step 4: Simplify right side
    50,700x = 5,807,354,436
  5. Step 5: Solve for x
    x = 5,807,354,436/50,700
  6. Step 6: Final answer
    x = 114,543.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.