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Finding the Third Proportional to 144,975 and 173,691

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Solution

The third proportional to 144,975 and 173,691 is: 208,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,975 : 173,691 = 173,691 : x
  2. Step 2: Convert to fraction form
    144,975/173,691 = 173,691/x
  3. Step 3: Cross multiply
    144,975x = 173,691 × 173,691
  4. Step 4: Simplify right side
    144,975x = 30,168,563,481
  5. Step 5: Solve for x
    x = 30,168,563,481/144,975
  6. Step 6: Final answer
    x = 208,094.94

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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.