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Finding the Third Proportional to 48,577 and 106,159

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Solution

The third proportional to 48,577 and 106,159 is: 231,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,577 : 106,159 = 106,159 : x
  2. Step 2: Convert to fraction form
    48,577/106,159 = 106,159/x
  3. Step 3: Cross multiply
    48,577x = 106,159 × 106,159
  4. Step 4: Simplify right side
    48,577x = 11,269,733,281
  5. Step 5: Solve for x
    x = 11,269,733,281/48,577
  6. Step 6: Final answer
    x = 231,997.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.