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Finding the Third Proportional to 46,702 and 102,476

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Solution

The third proportional to 46,702 and 102,476 is: 224,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,702 : 102,476 = 102,476 : x
  2. Step 2: Convert to fraction form
    46,702/102,476 = 102,476/x
  3. Step 3: Cross multiply
    46,702x = 102,476 × 102,476
  4. Step 4: Simplify right side
    46,702x = 10,501,330,576
  5. Step 5: Solve for x
    x = 10,501,330,576/46,702
  6. Step 6: Final answer
    x = 224,858.26

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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.