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Finding the Third Proportional to 103,697 and 154,828

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Solution

The third proportional to 103,697 and 154,828 is: 231,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 154,828 = 154,828 : x
  2. Step 2: Convert to fraction form
    103,697/154,828 = 154,828/x
  3. Step 3: Cross multiply
    103,697x = 154,828 × 154,828
  4. Step 4: Simplify right side
    103,697x = 23,971,709,584
  5. Step 5: Solve for x
    x = 23,971,709,584/103,697
  6. Step 6: Final answer
    x = 231,170.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.