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Finding the Third Proportional to 114,538 and 171,278

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Solution

The third proportional to 114,538 and 171,278 is: 256,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,538 : 171,278 = 171,278 : x
  2. Step 2: Convert to fraction form
    114,538/171,278 = 171,278/x
  3. Step 3: Cross multiply
    114,538x = 171,278 × 171,278
  4. Step 4: Simplify right side
    114,538x = 29,336,153,284
  5. Step 5: Solve for x
    x = 29,336,153,284/114,538
  6. Step 6: Final answer
    x = 256,125.94

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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.