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Finding the Third Proportional to 73,567 and 114,119.50

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Solution

The third proportional to 73,567 and 114,119.50 is: 177,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,567 : 114,119.50 = 114,119.50 : x
  2. Step 2: Convert to fraction form
    73,567/114,119.50 = 114,119.50/x
  3. Step 3: Cross multiply
    73,567x = 114,119.50 × 114,119.50
  4. Step 4: Simplify right side
    73,567x = 13,023,260,280.25
  5. Step 5: Solve for x
    x = 13,023,260,280.25/73,567
  6. Step 6: Final answer
    x = 177,025.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.