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Finding the Third Proportional to 84,413 and 180,125

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Solution

The third proportional to 84,413 and 180,125 is: 384,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,413 : 180,125 = 180,125 : x
  2. Step 2: Convert to fraction form
    84,413/180,125 = 180,125/x
  3. Step 3: Cross multiply
    84,413x = 180,125 × 180,125
  4. Step 4: Simplify right side
    84,413x = 32,445,015,625
  5. Step 5: Solve for x
    x = 32,445,015,625/84,413
  6. Step 6: Final answer
    x = 384,360.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.