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Finding the Third Proportional to 47,637 and 110,763

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Solution

The third proportional to 47,637 and 110,763 is: 257,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,637 : 110,763 = 110,763 : x
  2. Step 2: Convert to fraction form
    47,637/110,763 = 110,763/x
  3. Step 3: Cross multiply
    47,637x = 110,763 × 110,763
  4. Step 4: Simplify right side
    47,637x = 12,268,442,169
  5. Step 5: Solve for x
    x = 12,268,442,169/47,637
  6. Step 6: Final answer
    x = 257,540.19

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.