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Finding the Third Proportional to 34,229 and 74,899.75

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Solution

The third proportional to 34,229 and 74,899.75 is: 163,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,229 : 74,899.75 = 74,899.75 : x
  2. Step 2: Convert to fraction form
    34,229/74,899.75 = 74,899.75/x
  3. Step 3: Cross multiply
    34,229x = 74,899.75 × 74,899.75
  4. Step 4: Simplify right side
    34,229x = 5,609,972,550.06
  5. Step 5: Solve for x
    x = 5,609,972,550.06/34,229
  6. Step 6: Final answer
    x = 163,895.31

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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.