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Finding the Third Proportional to 46,860 and 74,946

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Solution

The third proportional to 46,860 and 74,946 is: 119,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,860 : 74,946 = 74,946 : x
  2. Step 2: Convert to fraction form
    46,860/74,946 = 74,946/x
  3. Step 3: Cross multiply
    46,860x = 74,946 × 74,946
  4. Step 4: Simplify right side
    46,860x = 5,616,902,916
  5. Step 5: Solve for x
    x = 5,616,902,916/46,860
  6. Step 6: Final answer
    x = 119,865.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.