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Finding the Third Proportional to 54,046 and 110,764

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Solution

The third proportional to 54,046 and 110,764 is: 227,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,046 : 110,764 = 110,764 : x
  2. Step 2: Convert to fraction form
    54,046/110,764 = 110,764/x
  3. Step 3: Cross multiply
    54,046x = 110,764 × 110,764
  4. Step 4: Simplify right side
    54,046x = 12,268,663,696
  5. Step 5: Solve for x
    x = 12,268,663,696/54,046
  6. Step 6: Final answer
    x = 227,004.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.