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Finding the Third Proportional to 56,711 and 118,903

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Solution

The third proportional to 56,711 and 118,903 is: 249,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,711 : 118,903 = 118,903 : x
  2. Step 2: Convert to fraction form
    56,711/118,903 = 118,903/x
  3. Step 3: Cross multiply
    56,711x = 118,903 × 118,903
  4. Step 4: Simplify right side
    56,711x = 14,137,923,409
  5. Step 5: Solve for x
    x = 14,137,923,409/56,711
  6. Step 6: Final answer
    x = 249,297.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.