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Finding the Third Proportional to 55,964 and 122,296

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Solution

The third proportional to 55,964 and 122,296 is: 267,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,964 : 122,296 = 122,296 : x
  2. Step 2: Convert to fraction form
    55,964/122,296 = 122,296/x
  3. Step 3: Cross multiply
    55,964x = 122,296 × 122,296
  4. Step 4: Simplify right side
    55,964x = 14,956,311,616
  5. Step 5: Solve for x
    x = 14,956,311,616/55,964
  6. Step 6: Final answer
    x = 267,248.80

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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.