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Finding the Third Proportional to 71,554 and 155,410

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Solution

The third proportional to 71,554 and 155,410 is: 337,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,554 : 155,410 = 155,410 : x
  2. Step 2: Convert to fraction form
    71,554/155,410 = 155,410/x
  3. Step 3: Cross multiply
    71,554x = 155,410 × 155,410
  4. Step 4: Simplify right side
    71,554x = 24,152,268,100
  5. Step 5: Solve for x
    x = 24,152,268,100/71,554
  6. Step 6: Final answer
    x = 337,539.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.