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Finding the Third Proportional to 55,285.88 and 82,841.63

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Solution

The third proportional to 55,285.88 and 82,841.63 is: 124,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,285.88 : 82,841.63 = 82,841.63 : x
  2. Step 2: Convert to fraction form
    55,285.88/82,841.63 = 82,841.63/x
  3. Step 3: Cross multiply
    55,285.88x = 82,841.63 × 82,841.63
  4. Step 4: Simplify right side
    55,285.88x = 6,862,734,832.64
  5. Step 5: Solve for x
    x = 6,862,734,832.64/55,285.88
  6. Step 6: Final answer
    x = 124,131.79

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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.