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Finding the Third Proportional to 144,977 and 173,693

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Solution

The third proportional to 144,977 and 173,693 is: 208,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,977 : 173,693 = 173,693 : x
  2. Step 2: Convert to fraction form
    144,977/173,693 = 173,693/x
  3. Step 3: Cross multiply
    144,977x = 173,693 × 173,693
  4. Step 4: Simplify right side
    144,977x = 30,169,258,249
  5. Step 5: Solve for x
    x = 30,169,258,249/144,977
  6. Step 6: Final answer
    x = 208,096.86

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.