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Finding the Third Proportional to 51,068 and 74,824

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Solution

The third proportional to 51,068 and 74,824 is: 109,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,068 : 74,824 = 74,824 : x
  2. Step 2: Convert to fraction form
    51,068/74,824 = 74,824/x
  3. Step 3: Cross multiply
    51,068x = 74,824 × 74,824
  4. Step 4: Simplify right side
    51,068x = 5,598,630,976
  5. Step 5: Solve for x
    x = 5,598,630,976/51,068
  6. Step 6: Final answer
    x = 109,630.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.