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Finding the Third Proportional to 36,090 and 86,944

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Solution

The third proportional to 36,090 and 86,944 is: 209,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,090 : 86,944 = 86,944 : x
  2. Step 2: Convert to fraction form
    36,090/86,944 = 86,944/x
  3. Step 3: Cross multiply
    36,090x = 86,944 × 86,944
  4. Step 4: Simplify right side
    36,090x = 7,559,259,136
  5. Step 5: Solve for x
    x = 7,559,259,136/36,090
  6. Step 6: Final answer
    x = 209,455.78

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.