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Finding the Third Proportional to 49,572 and 102,951

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Solution

The third proportional to 49,572 and 102,951 is: 213,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,572 : 102,951 = 102,951 : x
  2. Step 2: Convert to fraction form
    49,572/102,951 = 102,951/x
  3. Step 3: Cross multiply
    49,572x = 102,951 × 102,951
  4. Step 4: Simplify right side
    49,572x = 10,598,908,401
  5. Step 5: Solve for x
    x = 10,598,908,401/49,572
  6. Step 6: Final answer
    x = 213,808.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.