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Finding the Third Proportional to 55,826 and 122,148

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Solution

The third proportional to 55,826 and 122,148 is: 267,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,826 : 122,148 = 122,148 : x
  2. Step 2: Convert to fraction form
    55,826/122,148 = 122,148/x
  3. Step 3: Cross multiply
    55,826x = 122,148 × 122,148
  4. Step 4: Simplify right side
    55,826x = 14,920,133,904
  5. Step 5: Solve for x
    x = 14,920,133,904/55,826
  6. Step 6: Final answer
    x = 267,261.38

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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.