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Finding the Third Proportional to 41,740 and 90,056

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Solution

The third proportional to 41,740 and 90,056 is: 194,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,740 : 90,056 = 90,056 : x
  2. Step 2: Convert to fraction form
    41,740/90,056 = 90,056/x
  3. Step 3: Cross multiply
    41,740x = 90,056 × 90,056
  4. Step 4: Simplify right side
    41,740x = 8,110,083,136
  5. Step 5: Solve for x
    x = 8,110,083,136/41,740
  6. Step 6: Final answer
    x = 194,300.03

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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.