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Finding the Third Proportional to 123,774 and 174,969

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Solution

The third proportional to 123,774 and 174,969 is: 247,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,774 : 174,969 = 174,969 : x
  2. Step 2: Convert to fraction form
    123,774/174,969 = 174,969/x
  3. Step 3: Cross multiply
    123,774x = 174,969 × 174,969
  4. Step 4: Simplify right side
    123,774x = 30,614,150,961
  5. Step 5: Solve for x
    x = 30,614,150,961/123,774
  6. Step 6: Final answer
    x = 247,339.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.