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Finding the Third Proportional to 108,024 and 170,916

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Solution

The third proportional to 108,024 and 170,916 is: 270,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,024 : 170,916 = 170,916 : x
  2. Step 2: Convert to fraction form
    108,024/170,916 = 170,916/x
  3. Step 3: Cross multiply
    108,024x = 170,916 × 170,916
  4. Step 4: Simplify right side
    108,024x = 29,212,279,056
  5. Step 5: Solve for x
    x = 29,212,279,056/108,024
  6. Step 6: Final answer
    x = 270,423.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.