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Finding the Third Proportional to 128,172.06 and 276,065.09

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Solution

The third proportional to 128,172.06 and 276,065.09 is: 594,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,172.06 : 276,065.09 = 276,065.09 : x
  2. Step 2: Convert to fraction form
    128,172.06/276,065.09 = 276,065.09/x
  3. Step 3: Cross multiply
    128,172.06x = 276,065.09 × 276,065.09
  4. Step 4: Simplify right side
    128,172.06x = 76,211,931,673.68
  5. Step 5: Solve for x
    x = 76,211,931,673.68/128,172.06
  6. Step 6: Final answer
    x = 594,606.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.