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Finding the Third Proportional to 55,522.13 and 121,846.78

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Solution

The third proportional to 55,522.13 and 121,846.78 is: 267,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,522.13 : 121,846.78 = 121,846.78 : x
  2. Step 2: Convert to fraction form
    55,522.13/121,846.78 = 121,846.78/x
  3. Step 3: Cross multiply
    55,522.13x = 121,846.78 × 121,846.78
  4. Step 4: Simplify right side
    55,522.13x = 14,846,638,100.99
  5. Step 5: Solve for x
    x = 14,846,638,100.99/55,522.13
  6. Step 6: Final answer
    x = 267,400.39

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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.