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Finding the Third Proportional to 27,207 and 59,760

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Solution

The third proportional to 27,207 and 59,760 is: 131,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,207 : 59,760 = 59,760 : x
  2. Step 2: Convert to fraction form
    27,207/59,760 = 59,760/x
  3. Step 3: Cross multiply
    27,207x = 59,760 × 59,760
  4. Step 4: Simplify right side
    27,207x = 3,571,257,600
  5. Step 5: Solve for x
    x = 3,571,257,600/27,207
  6. Step 6: Final answer
    x = 131,262.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.