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Finding the Third Proportional to 49,946.63 and 107,001

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Solution

The third proportional to 49,946.63 and 107,001 is: 229,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,946.63 : 107,001 = 107,001 : x
  2. Step 2: Convert to fraction form
    49,946.63/107,001 = 107,001/x
  3. Step 3: Cross multiply
    49,946.63x = 107,001 × 107,001
  4. Step 4: Simplify right side
    49,946.63x = 11,449,214,001
  5. Step 5: Solve for x
    x = 11,449,214,001/49,946.63
  6. Step 6: Final answer
    x = 229,228.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.