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Finding the Third Proportional to 54,743 and 118,031

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Solution

The third proportional to 54,743 and 118,031 is: 254,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,743 : 118,031 = 118,031 : x
  2. Step 2: Convert to fraction form
    54,743/118,031 = 118,031/x
  3. Step 3: Cross multiply
    54,743x = 118,031 × 118,031
  4. Step 4: Simplify right side
    54,743x = 13,931,316,961
  5. Step 5: Solve for x
    x = 13,931,316,961/54,743
  6. Step 6: Final answer
    x = 254,485.81

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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.