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Finding the Third Proportional to 55,098 and 120,576

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Solution

The third proportional to 55,098 and 120,576 is: 263,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,098 : 120,576 = 120,576 : x
  2. Step 2: Convert to fraction form
    55,098/120,576 = 120,576/x
  3. Step 3: Cross multiply
    55,098x = 120,576 × 120,576
  4. Step 4: Simplify right side
    55,098x = 14,538,571,776
  5. Step 5: Solve for x
    x = 14,538,571,776/55,098
  6. Step 6: Final answer
    x = 263,867.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.