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Finding the Third Proportional to 53,841 and 80,235

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Solution

The third proportional to 53,841 and 80,235 is: 119,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,841 : 80,235 = 80,235 : x
  2. Step 2: Convert to fraction form
    53,841/80,235 = 80,235/x
  3. Step 3: Cross multiply
    53,841x = 80,235 × 80,235
  4. Step 4: Simplify right side
    53,841x = 6,437,655,225
  5. Step 5: Solve for x
    x = 6,437,655,225/53,841
  6. Step 6: Final answer
    x = 119,567.90

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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.