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Finding the Third Proportional to 76,466.75 and 120,503.75

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Solution

The third proportional to 76,466.75 and 120,503.75 is: 189,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.75 : 120,503.75 = 120,503.75 : x
  2. Step 2: Convert to fraction form
    76,466.75/120,503.75 = 120,503.75/x
  3. Step 3: Cross multiply
    76,466.75x = 120,503.75 × 120,503.75
  4. Step 4: Simplify right side
    76,466.75x = 14,521,153,764.06
  5. Step 5: Solve for x
    x = 14,521,153,764.06/76,466.75
  6. Step 6: Final answer
    x = 189,901.54

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.