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Finding the Third Proportional to 49,034 and 105,842

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Solution

The third proportional to 49,034 and 105,842 is: 228,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,034 : 105,842 = 105,842 : x
  2. Step 2: Convert to fraction form
    49,034/105,842 = 105,842/x
  3. Step 3: Cross multiply
    49,034x = 105,842 × 105,842
  4. Step 4: Simplify right side
    49,034x = 11,202,528,964
  5. Step 5: Solve for x
    x = 11,202,528,964/49,034
  6. Step 6: Final answer
    x = 228,464.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.