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Finding the Third Proportional to 117,678 and 180,051

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Solution

The third proportional to 117,678 and 180,051 is: 275,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,678 : 180,051 = 180,051 : x
  2. Step 2: Convert to fraction form
    117,678/180,051 = 180,051/x
  3. Step 3: Cross multiply
    117,678x = 180,051 × 180,051
  4. Step 4: Simplify right side
    117,678x = 32,418,362,601
  5. Step 5: Solve for x
    x = 32,418,362,601/117,678
  6. Step 6: Final answer
    x = 275,483.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.