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Finding the Third Proportional to 48,213 and 106,749

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Solution

The third proportional to 48,213 and 106,749 is: 236,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,213 : 106,749 = 106,749 : x
  2. Step 2: Convert to fraction form
    48,213/106,749 = 106,749/x
  3. Step 3: Cross multiply
    48,213x = 106,749 × 106,749
  4. Step 4: Simplify right side
    48,213x = 11,395,349,001
  5. Step 5: Solve for x
    x = 11,395,349,001/48,213
  6. Step 6: Final answer
    x = 236,354.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.