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Finding the Third Proportional to 51,220 and 118,648

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Solution

The third proportional to 51,220 and 118,648 is: 274,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,220 : 118,648 = 118,648 : x
  2. Step 2: Convert to fraction form
    51,220/118,648 = 118,648/x
  3. Step 3: Cross multiply
    51,220x = 118,648 × 118,648
  4. Step 4: Simplify right side
    51,220x = 14,077,347,904
  5. Step 5: Solve for x
    x = 14,077,347,904/51,220
  6. Step 6: Final answer
    x = 274,840.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.