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Finding the Third Proportional to 51,531 and 119,303

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Solution

The third proportional to 51,531 and 119,303 is: 276,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,531 : 119,303 = 119,303 : x
  2. Step 2: Convert to fraction form
    51,531/119,303 = 119,303/x
  3. Step 3: Cross multiply
    51,531x = 119,303 × 119,303
  4. Step 4: Simplify right side
    51,531x = 14,233,205,809
  5. Step 5: Solve for x
    x = 14,233,205,809/51,531
  6. Step 6: Final answer
    x = 276,206.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.