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Finding the Third Proportional to 49,418 and 102,106

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Solution

The third proportional to 49,418 and 102,106 is: 210,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,418 : 102,106 = 102,106 : x
  2. Step 2: Convert to fraction form
    49,418/102,106 = 102,106/x
  3. Step 3: Cross multiply
    49,418x = 102,106 × 102,106
  4. Step 4: Simplify right side
    49,418x = 10,425,635,236
  5. Step 5: Solve for x
    x = 10,425,635,236/49,418
  6. Step 6: Final answer
    x = 210,968.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.