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Finding the Third Proportional to 34,258 and 74,725

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Solution

The third proportional to 34,258 and 74,725 is: 162,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,258 : 74,725 = 74,725 : x
  2. Step 2: Convert to fraction form
    34,258/74,725 = 74,725/x
  3. Step 3: Cross multiply
    34,258x = 74,725 × 74,725
  4. Step 4: Simplify right side
    34,258x = 5,583,825,625
  5. Step 5: Solve for x
    x = 5,583,825,625/34,258
  6. Step 6: Final answer
    x = 162,993.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.