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Finding the Third Proportional to 72,056 and 155,200

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Solution

The third proportional to 72,056 and 155,200 is: 334,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,056 : 155,200 = 155,200 : x
  2. Step 2: Convert to fraction form
    72,056/155,200 = 155,200/x
  3. Step 3: Cross multiply
    72,056x = 155,200 × 155,200
  4. Step 4: Simplify right side
    72,056x = 24,087,040,000
  5. Step 5: Solve for x
    x = 24,087,040,000/72,056
  6. Step 6: Final answer
    x = 334,282.22

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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.