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Finding the Third Proportional to 127,772 and 273,058

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Solution

The third proportional to 127,772 and 273,058 is: 583,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,772 : 273,058 = 273,058 : x
  2. Step 2: Convert to fraction form
    127,772/273,058 = 273,058/x
  3. Step 3: Cross multiply
    127,772x = 273,058 × 273,058
  4. Step 4: Simplify right side
    127,772x = 74,560,671,364
  5. Step 5: Solve for x
    x = 74,560,671,364/127,772
  6. Step 6: Final answer
    x = 583,544.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.