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Finding the Third Proportional to 127,054 and 250,894

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Solution

The third proportional to 127,054 and 250,894 is: 495,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,054 : 250,894 = 250,894 : x
  2. Step 2: Convert to fraction form
    127,054/250,894 = 250,894/x
  3. Step 3: Cross multiply
    127,054x = 250,894 × 250,894
  4. Step 4: Simplify right side
    127,054x = 62,947,799,236
  5. Step 5: Solve for x
    x = 62,947,799,236/127,054
  6. Step 6: Final answer
    x = 495,441.30

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.