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Finding the Third Proportional to 53,944 and 110,030

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Solution

The third proportional to 53,944 and 110,030 is: 224,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,944 : 110,030 = 110,030 : x
  2. Step 2: Convert to fraction form
    53,944/110,030 = 110,030/x
  3. Step 3: Cross multiply
    53,944x = 110,030 × 110,030
  4. Step 4: Simplify right side
    53,944x = 12,106,600,900
  5. Step 5: Solve for x
    x = 12,106,600,900/53,944
  6. Step 6: Final answer
    x = 224,429.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.