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Finding the Third Proportional to 49,142 and 106,132

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Solution

The third proportional to 49,142 and 106,132 is: 229,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,142 : 106,132 = 106,132 : x
  2. Step 2: Convert to fraction form
    49,142/106,132 = 106,132/x
  3. Step 3: Cross multiply
    49,142x = 106,132 × 106,132
  4. Step 4: Simplify right side
    49,142x = 11,264,001,424
  5. Step 5: Solve for x
    x = 11,264,001,424/49,142
  6. Step 6: Final answer
    x = 229,213.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.