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Finding the Third Proportional to 55,600 and 122,323

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Solution

The third proportional to 55,600 and 122,323 is: 269,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,600 : 122,323 = 122,323 : x
  2. Step 2: Convert to fraction form
    55,600/122,323 = 122,323/x
  3. Step 3: Cross multiply
    55,600x = 122,323 × 122,323
  4. Step 4: Simplify right side
    55,600x = 14,962,916,329
  5. Step 5: Solve for x
    x = 14,962,916,329/55,600
  6. Step 6: Final answer
    x = 269,117.20

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Why These Related Problems?

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