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Finding the Third Proportional to 53,991 and 126,106.50

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Solution

The third proportional to 53,991 and 126,106.50 is: 294,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,991 : 126,106.50 = 126,106.50 : x
  2. Step 2: Convert to fraction form
    53,991/126,106.50 = 126,106.50/x
  3. Step 3: Cross multiply
    53,991x = 126,106.50 × 126,106.50
  4. Step 4: Simplify right side
    53,991x = 15,902,849,342.25
  5. Step 5: Solve for x
    x = 15,902,849,342.25/53,991
  6. Step 6: Final answer
    x = 294,546.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.