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Finding the Third Proportional to 49,228 and 105,457

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Solution

The third proportional to 49,228 and 105,457 is: 225,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,228 : 105,457 = 105,457 : x
  2. Step 2: Convert to fraction form
    49,228/105,457 = 105,457/x
  3. Step 3: Cross multiply
    49,228x = 105,457 × 105,457
  4. Step 4: Simplify right side
    49,228x = 11,121,178,849
  5. Step 5: Solve for x
    x = 11,121,178,849/49,228
  6. Step 6: Final answer
    x = 225,911.65

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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.