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Finding the Third Proportional to 121,779 and 182,173.50

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Solution

The third proportional to 121,779 and 182,173.50 is: 272,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,779 : 182,173.50 = 182,173.50 : x
  2. Step 2: Convert to fraction form
    121,779/182,173.50 = 182,173.50/x
  3. Step 3: Cross multiply
    121,779x = 182,173.50 × 182,173.50
  4. Step 4: Simplify right side
    121,779x = 33,187,184,102.25
  5. Step 5: Solve for x
    x = 33,187,184,102.25/121,779
  6. Step 6: Final answer
    x = 272,519.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.