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Finding the Third Proportional to 108,081 and 236,229

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Solution

The third proportional to 108,081 and 236,229 is: 516,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,081 : 236,229 = 236,229 : x
  2. Step 2: Convert to fraction form
    108,081/236,229 = 236,229/x
  3. Step 3: Cross multiply
    108,081x = 236,229 × 236,229
  4. Step 4: Simplify right side
    108,081x = 55,804,140,441
  5. Step 5: Solve for x
    x = 55,804,140,441/108,081
  6. Step 6: Final answer
    x = 516,317.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.