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Finding the Third Proportional to 46,687 and 102,445

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Solution

The third proportional to 46,687 and 102,445 is: 224,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,687 : 102,445 = 102,445 : x
  2. Step 2: Convert to fraction form
    46,687/102,445 = 102,445/x
  3. Step 3: Cross multiply
    46,687x = 102,445 × 102,445
  4. Step 4: Simplify right side
    46,687x = 10,494,978,025
  5. Step 5: Solve for x
    x = 10,494,978,025/46,687
  6. Step 6: Final answer
    x = 224,794.44

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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.