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Finding the Third Proportional to 51,953 and 112,213

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Solution

The third proportional to 51,953 and 112,213 is: 242,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,953 : 112,213 = 112,213 : x
  2. Step 2: Convert to fraction form
    51,953/112,213 = 112,213/x
  3. Step 3: Cross multiply
    51,953x = 112,213 × 112,213
  4. Step 4: Simplify right side
    51,953x = 12,591,757,369
  5. Step 5: Solve for x
    x = 12,591,757,369/51,953
  6. Step 6: Final answer
    x = 242,368.24

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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.