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Finding the Third Proportional to 55,752 and 120,253

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Solution

The third proportional to 55,752 and 120,253 is: 259,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,752 : 120,253 = 120,253 : x
  2. Step 2: Convert to fraction form
    55,752/120,253 = 120,253/x
  3. Step 3: Cross multiply
    55,752x = 120,253 × 120,253
  4. Step 4: Simplify right side
    55,752x = 14,460,784,009
  5. Step 5: Solve for x
    x = 14,460,784,009/55,752
  6. Step 6: Final answer
    x = 259,376.96

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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.