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Finding the Third Proportional to 127,320.75 and 276,782.06

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Solution

The third proportional to 127,320.75 and 276,782.06 is: 601,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,320.75 : 276,782.06 = 276,782.06 : x
  2. Step 2: Convert to fraction form
    127,320.75/276,782.06 = 276,782.06/x
  3. Step 3: Cross multiply
    127,320.75x = 276,782.06 × 276,782.06
  4. Step 4: Simplify right side
    127,320.75x = 76,608,310,121.75
  5. Step 5: Solve for x
    x = 76,608,310,121.75/127,320.75
  6. Step 6: Final answer
    x = 601,695.40

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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.