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Finding the Third Proportional to 72,171 and 155,504.81

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Solution

The third proportional to 72,171 and 155,504.81 is: 335,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,171 : 155,504.81 = 155,504.81 : x
  2. Step 2: Convert to fraction form
    72,171/155,504.81 = 155,504.81/x
  3. Step 3: Cross multiply
    72,171x = 155,504.81 × 155,504.81
  4. Step 4: Simplify right side
    72,171x = 24,181,746,710.66
  5. Step 5: Solve for x
    x = 24,181,746,710.66/72,171
  6. Step 6: Final answer
    x = 335,061.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.