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Finding the Third Proportional to 107,968.50 and 168,033

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Solution

The third proportional to 107,968.50 and 168,033 is: 261,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,968.50 : 168,033 = 168,033 : x
  2. Step 2: Convert to fraction form
    107,968.50/168,033 = 168,033/x
  3. Step 3: Cross multiply
    107,968.50x = 168,033 × 168,033
  4. Step 4: Simplify right side
    107,968.50x = 28,235,089,089
  5. Step 5: Solve for x
    x = 28,235,089,089/107,968.50
  6. Step 6: Final answer
    x = 261,512.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.