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Finding the Third Proportional to 34,502 and 74,286

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Solution

The third proportional to 34,502 and 74,286 is: 159,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502 : 74,286 = 74,286 : x
  2. Step 2: Convert to fraction form
    34,502/74,286 = 74,286/x
  3. Step 3: Cross multiply
    34,502x = 74,286 × 74,286
  4. Step 4: Simplify right side
    34,502x = 5,518,409,796
  5. Step 5: Solve for x
    x = 5,518,409,796/34,502
  6. Step 6: Final answer
    x = 159,944.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.