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Finding the Third Proportional to 108,045 and 251,181

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Solution

The third proportional to 108,045 and 251,181 is: 583,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,045 : 251,181 = 251,181 : x
  2. Step 2: Convert to fraction form
    108,045/251,181 = 251,181/x
  3. Step 3: Cross multiply
    108,045x = 251,181 × 251,181
  4. Step 4: Simplify right side
    108,045x = 63,091,894,761
  5. Step 5: Solve for x
    x = 63,091,894,761/108,045
  6. Step 6: Final answer
    x = 583,940.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.