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Finding the Third Proportional to 71,064 and 152,884

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Solution

The third proportional to 71,064 and 152,884 is: 328,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,064 : 152,884 = 152,884 : x
  2. Step 2: Convert to fraction form
    71,064/152,884 = 152,884/x
  3. Step 3: Cross multiply
    71,064x = 152,884 × 152,884
  4. Step 4: Simplify right side
    71,064x = 23,373,517,456
  5. Step 5: Solve for x
    x = 23,373,517,456/71,064
  6. Step 6: Final answer
    x = 328,907.99

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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.