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Finding the Third Proportional to 55,596 and 118,484

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Solution

The third proportional to 55,596 and 118,484 is: 252,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,596 : 118,484 = 118,484 : x
  2. Step 2: Convert to fraction form
    55,596/118,484 = 118,484/x
  3. Step 3: Cross multiply
    55,596x = 118,484 × 118,484
  4. Step 4: Simplify right side
    55,596x = 14,038,458,256
  5. Step 5: Solve for x
    x = 14,038,458,256/55,596
  6. Step 6: Final answer
    x = 252,508.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.