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Finding the Third Proportional to 43,123 and 93,050

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Solution

The third proportional to 43,123 and 93,050 is: 200,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,123 : 93,050 = 93,050 : x
  2. Step 2: Convert to fraction form
    43,123/93,050 = 93,050/x
  3. Step 3: Cross multiply
    43,123x = 93,050 × 93,050
  4. Step 4: Simplify right side
    43,123x = 8,658,302,500
  5. Step 5: Solve for x
    x = 8,658,302,500/43,123
  6. Step 6: Final answer
    x = 200,781.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.