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Finding the Third Proportional to 36,153 and 79,429.50

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Solution

The third proportional to 36,153 and 79,429.50 is: 174,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,153 : 79,429.50 = 79,429.50 : x
  2. Step 2: Convert to fraction form
    36,153/79,429.50 = 79,429.50/x
  3. Step 3: Cross multiply
    36,153x = 79,429.50 × 79,429.50
  4. Step 4: Simplify right side
    36,153x = 6,309,045,470.25
  5. Step 5: Solve for x
    x = 6,309,045,470.25/36,153
  6. Step 6: Final answer
    x = 174,509.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.