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Finding the Third Proportional to 72,439.50 and 110,813

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Solution

The third proportional to 72,439.50 and 110,813 is: 169,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,439.50 : 110,813 = 110,813 : x
  2. Step 2: Convert to fraction form
    72,439.50/110,813 = 110,813/x
  3. Step 3: Cross multiply
    72,439.50x = 110,813 × 110,813
  4. Step 4: Simplify right side
    72,439.50x = 12,279,520,969
  5. Step 5: Solve for x
    x = 12,279,520,969/72,439.50
  6. Step 6: Final answer
    x = 169,514.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.