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Finding the Third Proportional to 50,964 and 74,946

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Solution

The third proportional to 50,964 and 74,946 is: 110,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,964 : 74,946 = 74,946 : x
  2. Step 2: Convert to fraction form
    50,964/74,946 = 74,946/x
  3. Step 3: Cross multiply
    50,964x = 74,946 × 74,946
  4. Step 4: Simplify right side
    50,964x = 5,616,902,916
  5. Step 5: Solve for x
    x = 5,616,902,916/50,964
  6. Step 6: Final answer
    x = 110,213.15

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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.