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Finding the Third Proportional to 46,912 and 103,024

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Solution

The third proportional to 46,912 and 103,024 is: 226,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,912 : 103,024 = 103,024 : x
  2. Step 2: Convert to fraction form
    46,912/103,024 = 103,024/x
  3. Step 3: Cross multiply
    46,912x = 103,024 × 103,024
  4. Step 4: Simplify right side
    46,912x = 10,613,944,576
  5. Step 5: Solve for x
    x = 10,613,944,576/46,912
  6. Step 6: Final answer
    x = 226,252.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.