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Finding the Third Proportional to 49,058 and 105,888

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Solution

The third proportional to 49,058 and 105,888 is: 228,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,058 : 105,888 = 105,888 : x
  2. Step 2: Convert to fraction form
    49,058/105,888 = 105,888/x
  3. Step 3: Cross multiply
    49,058x = 105,888 × 105,888
  4. Step 4: Simplify right side
    49,058x = 11,212,268,544
  5. Step 5: Solve for x
    x = 11,212,268,544/49,058
  6. Step 6: Final answer
    x = 228,551.28

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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.