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Finding the Third Proportional to 46,131 and 101,064

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Solution

The third proportional to 46,131 and 101,064 is: 221,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,131 : 101,064 = 101,064 : x
  2. Step 2: Convert to fraction form
    46,131/101,064 = 101,064/x
  3. Step 3: Cross multiply
    46,131x = 101,064 × 101,064
  4. Step 4: Simplify right side
    46,131x = 10,213,932,096
  5. Step 5: Solve for x
    x = 10,213,932,096/46,131
  6. Step 6: Final answer
    x = 221,411.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.