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Finding the Third Proportional to 55,315.50 and 82,290

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Solution

The third proportional to 55,315.50 and 82,290 is: 122,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,315.50 : 82,290 = 82,290 : x
  2. Step 2: Convert to fraction form
    55,315.50/82,290 = 82,290/x
  3. Step 3: Cross multiply
    55,315.50x = 82,290 × 82,290
  4. Step 4: Simplify right side
    55,315.50x = 6,771,644,100
  5. Step 5: Solve for x
    x = 6,771,644,100/55,315.50
  6. Step 6: Final answer
    x = 122,418.56

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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.