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Finding the Third Proportional to 49,392 and 102,072

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Solution

The third proportional to 49,392 and 102,072 is: 210,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,392 : 102,072 = 102,072 : x
  2. Step 2: Convert to fraction form
    49,392/102,072 = 102,072/x
  3. Step 3: Cross multiply
    49,392x = 102,072 × 102,072
  4. Step 4: Simplify right side
    49,392x = 10,418,693,184
  5. Step 5: Solve for x
    x = 10,418,693,184/49,392
  6. Step 6: Final answer
    x = 210,938.88

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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.