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Finding the Third Proportional to 114,100 and 171,504

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Solution

The third proportional to 114,100 and 171,504 is: 257,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,100 : 171,504 = 171,504 : x
  2. Step 2: Convert to fraction form
    114,100/171,504 = 171,504/x
  3. Step 3: Cross multiply
    114,100x = 171,504 × 171,504
  4. Step 4: Simplify right side
    114,100x = 29,413,622,016
  5. Step 5: Solve for x
    x = 29,413,622,016/114,100
  6. Step 6: Final answer
    x = 257,788.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.