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Finding the Third Proportional to 116,048 and 156,576

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Solution

The third proportional to 116,048 and 156,576 is: 211,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,048 : 156,576 = 156,576 : x
  2. Step 2: Convert to fraction form
    116,048/156,576 = 156,576/x
  3. Step 3: Cross multiply
    116,048x = 156,576 × 156,576
  4. Step 4: Simplify right side
    116,048x = 24,516,043,776
  5. Step 5: Solve for x
    x = 24,516,043,776/116,048
  6. Step 6: Final answer
    x = 211,257.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.