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Finding the Third Proportional to 44,925 and 74,868

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Solution

The third proportional to 44,925 and 74,868 is: 124,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,925 : 74,868 = 74,868 : x
  2. Step 2: Convert to fraction form
    44,925/74,868 = 74,868/x
  3. Step 3: Cross multiply
    44,925x = 74,868 × 74,868
  4. Step 4: Simplify right side
    44,925x = 5,605,217,424
  5. Step 5: Solve for x
    x = 5,605,217,424/44,925
  6. Step 6: Final answer
    x = 124,768.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.