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Finding the Third Proportional to 50,020 and 106,951

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Solution

The third proportional to 50,020 and 106,951 is: 228,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,020 : 106,951 = 106,951 : x
  2. Step 2: Convert to fraction form
    50,020/106,951 = 106,951/x
  3. Step 3: Cross multiply
    50,020x = 106,951 × 106,951
  4. Step 4: Simplify right side
    50,020x = 11,438,516,401
  5. Step 5: Solve for x
    x = 11,438,516,401/50,020
  6. Step 6: Final answer
    x = 228,678.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.