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Finding the Third Proportional to 121,074.75 and 239,044.50

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Solution

The third proportional to 121,074.75 and 239,044.50 is: 471,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,074.75 : 239,044.50 = 239,044.50 : x
  2. Step 2: Convert to fraction form
    121,074.75/239,044.50 = 239,044.50/x
  3. Step 3: Cross multiply
    121,074.75x = 239,044.50 × 239,044.50
  4. Step 4: Simplify right side
    121,074.75x = 57,142,272,980.25
  5. Step 5: Solve for x
    x = 57,142,272,980.25/121,074.75
  6. Step 6: Final answer
    x = 471,958.63

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.