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Finding the Third Proportional to 46,456 and 110,780

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Solution

The third proportional to 46,456 and 110,780 is: 264,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,456 : 110,780 = 110,780 : x
  2. Step 2: Convert to fraction form
    46,456/110,780 = 110,780/x
  3. Step 3: Cross multiply
    46,456x = 110,780 × 110,780
  4. Step 4: Simplify right side
    46,456x = 12,272,208,400
  5. Step 5: Solve for x
    x = 12,272,208,400/46,456
  6. Step 6: Final answer
    x = 264,168.43

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.