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Finding the Third Proportional to 120,424 and 183,779

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Solution

The third proportional to 120,424 and 183,779 is: 280,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,424 : 183,779 = 183,779 : x
  2. Step 2: Convert to fraction form
    120,424/183,779 = 183,779/x
  3. Step 3: Cross multiply
    120,424x = 183,779 × 183,779
  4. Step 4: Simplify right side
    120,424x = 33,774,720,841
  5. Step 5: Solve for x
    x = 33,774,720,841/120,424
  6. Step 6: Final answer
    x = 280,465.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.