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Finding the Third Proportional to 46,026 and 107,564

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Solution

The third proportional to 46,026 and 107,564 is: 251,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,026 : 107,564 = 107,564 : x
  2. Step 2: Convert to fraction form
    46,026/107,564 = 107,564/x
  3. Step 3: Cross multiply
    46,026x = 107,564 × 107,564
  4. Step 4: Simplify right side
    46,026x = 11,570,014,096
  5. Step 5: Solve for x
    x = 11,570,014,096/46,026
  6. Step 6: Final answer
    x = 251,379.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.