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Finding the Third Proportional to 129,065.06 and 276,809.06

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Solution

The third proportional to 129,065.06 and 276,809.06 is: 593,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,065.06 : 276,809.06 = 276,809.06 : x
  2. Step 2: Convert to fraction form
    129,065.06/276,809.06 = 276,809.06/x
  3. Step 3: Cross multiply
    129,065.06x = 276,809.06 × 276,809.06
  4. Step 4: Simplify right side
    129,065.06x = 76,623,257,082.13
  5. Step 5: Solve for x
    x = 76,623,257,082.13/129,065.06
  6. Step 6: Final answer
    x = 593,679.31

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