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Finding the Third Proportional to 49,218 and 105,435

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Solution

The third proportional to 49,218 and 105,435 is: 225,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218 : 105,435 = 105,435 : x
  2. Step 2: Convert to fraction form
    49,218/105,435 = 105,435/x
  3. Step 3: Cross multiply
    49,218x = 105,435 × 105,435
  4. Step 4: Simplify right side
    49,218x = 11,116,539,225
  5. Step 5: Solve for x
    x = 11,116,539,225/49,218
  6. Step 6: Final answer
    x = 225,863.29

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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.