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Finding the Third Proportional to 34,376 and 75,064

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Solution

The third proportional to 34,376 and 75,064 is: 163,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,376 : 75,064 = 75,064 : x
  2. Step 2: Convert to fraction form
    34,376/75,064 = 75,064/x
  3. Step 3: Cross multiply
    34,376x = 75,064 × 75,064
  4. Step 4: Simplify right side
    34,376x = 5,634,604,096
  5. Step 5: Solve for x
    x = 5,634,604,096/34,376
  6. Step 6: Final answer
    x = 163,910.99

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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.