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Finding the Third Proportional to 129,061.69 and 276,805.69

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Solution

The third proportional to 129,061.69 and 276,805.69 is: 593,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,061.69 : 276,805.69 = 276,805.69 : x
  2. Step 2: Convert to fraction form
    129,061.69/276,805.69 = 276,805.69/x
  3. Step 3: Cross multiply
    129,061.69x = 276,805.69 × 276,805.69
  4. Step 4: Simplify right side
    129,061.69x = 76,621,388,632.35
  5. Step 5: Solve for x
    x = 76,621,388,632.35/129,061.69
  6. Step 6: Final answer
    x = 593,680.36

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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.