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Finding the Third Proportional to 34,302 and 74,889

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Solution

The third proportional to 34,302 and 74,889 is: 163,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,302 : 74,889 = 74,889 : x
  2. Step 2: Convert to fraction form
    34,302/74,889 = 74,889/x
  3. Step 3: Cross multiply
    34,302x = 74,889 × 74,889
  4. Step 4: Simplify right side
    34,302x = 5,608,362,321
  5. Step 5: Solve for x
    x = 5,608,362,321/34,302
  6. Step 6: Final answer
    x = 163,499.57

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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.