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Finding the Third Proportional to 34,226 and 74,984

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Solution

The third proportional to 34,226 and 74,984 is: 164,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,226 : 74,984 = 74,984 : x
  2. Step 2: Convert to fraction form
    34,226/74,984 = 74,984/x
  3. Step 3: Cross multiply
    34,226x = 74,984 × 74,984
  4. Step 4: Simplify right side
    34,226x = 5,622,600,256
  5. Step 5: Solve for x
    x = 5,622,600,256/34,226
  6. Step 6: Final answer
    x = 164,278.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.