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Finding the Third Proportional to 48,842 and 100,272

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Solution

The third proportional to 48,842 and 100,272 is: 205,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,842 : 100,272 = 100,272 : x
  2. Step 2: Convert to fraction form
    48,842/100,272 = 100,272/x
  3. Step 3: Cross multiply
    48,842x = 100,272 × 100,272
  4. Step 4: Simplify right side
    48,842x = 10,054,473,984
  5. Step 5: Solve for x
    x = 10,054,473,984/48,842
  6. Step 6: Final answer
    x = 205,857.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.