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Finding the Third Proportional to 48,970 and 106,236

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Solution

The third proportional to 48,970 and 106,236 is: 230,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970 : 106,236 = 106,236 : x
  2. Step 2: Convert to fraction form
    48,970/106,236 = 106,236/x
  3. Step 3: Cross multiply
    48,970x = 106,236 × 106,236
  4. Step 4: Simplify right side
    48,970x = 11,286,087,696
  5. Step 5: Solve for x
    x = 11,286,087,696/48,970
  6. Step 6: Final answer
    x = 230,469.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.