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Finding the Third Proportional to 53,958 and 126,031

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Solution

The third proportional to 53,958 and 126,031 is: 294,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,958 : 126,031 = 126,031 : x
  2. Step 2: Convert to fraction form
    53,958/126,031 = 126,031/x
  3. Step 3: Cross multiply
    53,958x = 126,031 × 126,031
  4. Step 4: Simplify right side
    53,958x = 15,883,812,961
  5. Step 5: Solve for x
    x = 15,883,812,961/53,958
  6. Step 6: Final answer
    x = 294,373.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.