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Finding the Third Proportional to 78,455 and 120,036

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Solution

The third proportional to 78,455 and 120,036 is: 183,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,455 : 120,036 = 120,036 : x
  2. Step 2: Convert to fraction form
    78,455/120,036 = 120,036/x
  3. Step 3: Cross multiply
    78,455x = 120,036 × 120,036
  4. Step 4: Simplify right side
    78,455x = 14,408,641,296
  5. Step 5: Solve for x
    x = 14,408,641,296/78,455
  6. Step 6: Final answer
    x = 183,654.85

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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.