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Finding the Third Proportional to 108,090.75 and 236,543.75

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Solution

The third proportional to 108,090.75 and 236,543.75 is: 517,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,090.75 : 236,543.75 = 236,543.75 : x
  2. Step 2: Convert to fraction form
    108,090.75/236,543.75 = 236,543.75/x
  3. Step 3: Cross multiply
    108,090.75x = 236,543.75 × 236,543.75
  4. Step 4: Simplify right side
    108,090.75x = 55,952,945,664.06
  5. Step 5: Solve for x
    x = 55,952,945,664.06/108,090.75
  6. Step 6: Final answer
    x = 517,647.86

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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.