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Finding the Third Proportional to 56,763 and 85,936.50

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Solution

The third proportional to 56,763 and 85,936.50 is: 130,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,763 : 85,936.50 = 85,936.50 : x
  2. Step 2: Convert to fraction form
    56,763/85,936.50 = 85,936.50/x
  3. Step 3: Cross multiply
    56,763x = 85,936.50 × 85,936.50
  4. Step 4: Simplify right side
    56,763x = 7,385,082,032.25
  5. Step 5: Solve for x
    x = 7,385,082,032.25/56,763
  6. Step 6: Final answer
    x = 130,103.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.