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Finding the Third Proportional to 72,336.09 and 158,463.75

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Solution

The third proportional to 72,336.09 and 158,463.75 is: 347,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,336.09 : 158,463.75 = 158,463.75 : x
  2. Step 2: Convert to fraction form
    72,336.09/158,463.75 = 158,463.75/x
  3. Step 3: Cross multiply
    72,336.09x = 158,463.75 × 158,463.75
  4. Step 4: Simplify right side
    72,336.09x = 25,110,760,064.06
  5. Step 5: Solve for x
    x = 25,110,760,064.06/72,336.09
  6. Step 6: Final answer
    x = 347,140.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.