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Finding the Third Proportional to 109,500 and 236,090

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Solution

The third proportional to 109,500 and 236,090 is: 509,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,500 : 236,090 = 236,090 : x
  2. Step 2: Convert to fraction form
    109,500/236,090 = 236,090/x
  3. Step 3: Cross multiply
    109,500x = 236,090 × 236,090
  4. Step 4: Simplify right side
    109,500x = 55,738,488,100
  5. Step 5: Solve for x
    x = 55,738,488,100/109,500
  6. Step 6: Final answer
    x = 509,027.29

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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.