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Finding the Third Proportional to 127,572 and 276,879

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Solution

The third proportional to 127,572 and 276,879 is: 600,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,572 : 276,879 = 276,879 : x
  2. Step 2: Convert to fraction form
    127,572/276,879 = 276,879/x
  3. Step 3: Cross multiply
    127,572x = 276,879 × 276,879
  4. Step 4: Simplify right side
    127,572x = 76,661,980,641
  5. Step 5: Solve for x
    x = 76,661,980,641/127,572
  6. Step 6: Final answer
    x = 600,931.09

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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.