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Finding the Third Proportional to 48,600 and 102,951

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Solution

The third proportional to 48,600 and 102,951 is: 218,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,600 : 102,951 = 102,951 : x
  2. Step 2: Convert to fraction form
    48,600/102,951 = 102,951/x
  3. Step 3: Cross multiply
    48,600x = 102,951 × 102,951
  4. Step 4: Simplify right side
    48,600x = 10,598,908,401
  5. Step 5: Solve for x
    x = 10,598,908,401/48,600
  6. Step 6: Final answer
    x = 218,084.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.