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Finding the Third Proportional to 72,581.06 and 151,814.25

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Solution

The third proportional to 72,581.06 and 151,814.25 is: 317,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,581.06 : 151,814.25 = 151,814.25 : x
  2. Step 2: Convert to fraction form
    72,581.06/151,814.25 = 151,814.25/x
  3. Step 3: Cross multiply
    72,581.06x = 151,814.25 × 151,814.25
  4. Step 4: Simplify right side
    72,581.06x = 23,047,566,503.06
  5. Step 5: Solve for x
    x = 23,047,566,503.06/72,581.06
  6. Step 6: Final answer
    x = 317,542.42

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.