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Finding the Third Proportional to 34,984 and 75,152

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Solution

The third proportional to 34,984 and 75,152 is: 161,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,984 : 75,152 = 75,152 : x
  2. Step 2: Convert to fraction form
    34,984/75,152 = 75,152/x
  3. Step 3: Cross multiply
    34,984x = 75,152 × 75,152
  4. Step 4: Simplify right side
    34,984x = 5,647,823,104
  5. Step 5: Solve for x
    x = 5,647,823,104/34,984
  6. Step 6: Final answer
    x = 161,440.18

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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.