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Finding the Third Proportional to 53,958 and 110,588

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Solution

The third proportional to 53,958 and 110,588 is: 226,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,958 : 110,588 = 110,588 : x
  2. Step 2: Convert to fraction form
    53,958/110,588 = 110,588/x
  3. Step 3: Cross multiply
    53,958x = 110,588 × 110,588
  4. Step 4: Simplify right side
    53,958x = 12,229,705,744
  5. Step 5: Solve for x
    x = 12,229,705,744/53,958
  6. Step 6: Final answer
    x = 226,652.32

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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.