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Finding the Third Proportional to 48,824 and 106,072

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Solution

The third proportional to 48,824 and 106,072 is: 230,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,824 : 106,072 = 106,072 : x
  2. Step 2: Convert to fraction form
    48,824/106,072 = 106,072/x
  3. Step 3: Cross multiply
    48,824x = 106,072 × 106,072
  4. Step 4: Simplify right side
    48,824x = 11,251,269,184
  5. Step 5: Solve for x
    x = 11,251,269,184/48,824
  6. Step 6: Final answer
    x = 230,445.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.