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Finding the Third Proportional to 55,300 and 82,950

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Solution

The third proportional to 55,300 and 82,950 is: 124,425

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,300 : 82,950 = 82,950 : x
  2. Step 2: Convert to fraction form
    55,300/82,950 = 82,950/x
  3. Step 3: Cross multiply
    55,300x = 82,950 × 82,950
  4. Step 4: Simplify right side
    55,300x = 6,880,702,500
  5. Step 5: Solve for x
    x = 6,880,702,500/55,300
  6. Step 6: Final answer
    x = 124,425

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.