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Finding the Third Proportional to 44,722 and 92,280

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Solution

The third proportional to 44,722 and 92,280 is: 190,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,722 : 92,280 = 92,280 : x
  2. Step 2: Convert to fraction form
    44,722/92,280 = 92,280/x
  3. Step 3: Cross multiply
    44,722x = 92,280 × 92,280
  4. Step 4: Simplify right side
    44,722x = 8,515,598,400
  5. Step 5: Solve for x
    x = 8,515,598,400/44,722
  6. Step 6: Final answer
    x = 190,411.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.