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Finding the Third Proportional to 34,136 and 70,997

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Solution

The third proportional to 34,136 and 70,997 is: 147,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,136 : 70,997 = 70,997 : x
  2. Step 2: Convert to fraction form
    34,136/70,997 = 70,997/x
  3. Step 3: Cross multiply
    34,136x = 70,997 × 70,997
  4. Step 4: Simplify right side
    34,136x = 5,040,574,009
  5. Step 5: Solve for x
    x = 5,040,574,009/34,136
  6. Step 6: Final answer
    x = 147,661.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.