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Finding the Third Proportional to 73,951 and 110,890.50

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Solution

The third proportional to 73,951 and 110,890.50 is: 166,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,951 : 110,890.50 = 110,890.50 : x
  2. Step 2: Convert to fraction form
    73,951/110,890.50 = 110,890.50/x
  3. Step 3: Cross multiply
    73,951x = 110,890.50 × 110,890.50
  4. Step 4: Simplify right side
    73,951x = 12,296,702,990.25
  5. Step 5: Solve for x
    x = 12,296,702,990.25/73,951
  6. Step 6: Final answer
    x = 166,281.77

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