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Finding the Third Proportional to 51,328.50 and 76,242

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Solution

The third proportional to 51,328.50 and 76,242 is: 113,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,328.50 : 76,242 = 76,242 : x
  2. Step 2: Convert to fraction form
    51,328.50/76,242 = 76,242/x
  3. Step 3: Cross multiply
    51,328.50x = 76,242 × 76,242
  4. Step 4: Simplify right side
    51,328.50x = 5,812,842,564
  5. Step 5: Solve for x
    x = 5,812,842,564/51,328.50
  6. Step 6: Final answer
    x = 113,247.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.