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Finding the Third Proportional to 55,752 and 120,252

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Solution

The third proportional to 55,752 and 120,252 is: 259,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,752 : 120,252 = 120,252 : x
  2. Step 2: Convert to fraction form
    55,752/120,252 = 120,252/x
  3. Step 3: Cross multiply
    55,752x = 120,252 × 120,252
  4. Step 4: Simplify right side
    55,752x = 14,460,543,504
  5. Step 5: Solve for x
    x = 14,460,543,504/55,752
  6. Step 6: Final answer
    x = 259,372.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.