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Finding the Third Proportional to 51,672 and 113,220

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Solution

The third proportional to 51,672 and 113,220 is: 248,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,672 : 113,220 = 113,220 : x
  2. Step 2: Convert to fraction form
    51,672/113,220 = 113,220/x
  3. Step 3: Cross multiply
    51,672x = 113,220 × 113,220
  4. Step 4: Simplify right side
    51,672x = 12,818,768,400
  5. Step 5: Solve for x
    x = 12,818,768,400/51,672
  6. Step 6: Final answer
    x = 248,079.59

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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.