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Finding the Third Proportional to 55,656 and 122,436

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Solution

The third proportional to 55,656 and 122,436 is: 269,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,656 : 122,436 = 122,436 : x
  2. Step 2: Convert to fraction form
    55,656/122,436 = 122,436/x
  3. Step 3: Cross multiply
    55,656x = 122,436 × 122,436
  4. Step 4: Simplify right side
    55,656x = 14,990,574,096
  5. Step 5: Solve for x
    x = 14,990,574,096/55,656
  6. Step 6: Final answer
    x = 269,343.36

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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.