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Finding the Third Proportional to 127,073.81 and 276,283.41

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Solution

The third proportional to 127,073.81 and 276,283.41 is: 600,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,073.81 : 276,283.41 = 276,283.41 : x
  2. Step 2: Convert to fraction form
    127,073.81/276,283.41 = 276,283.41/x
  3. Step 3: Cross multiply
    127,073.81x = 276,283.41 × 276,283.41
  4. Step 4: Simplify right side
    127,073.81x = 76,332,520,569.10
  5. Step 5: Solve for x
    x = 76,332,520,569.10/127,073.81
  6. Step 6: Final answer
    x = 600,694.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.