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Finding the Third Proportional to 71,024 and 155,410

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Solution

The third proportional to 71,024 and 155,410 is: 340,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024 : 155,410 = 155,410 : x
  2. Step 2: Convert to fraction form
    71,024/155,410 = 155,410/x
  3. Step 3: Cross multiply
    71,024x = 155,410 × 155,410
  4. Step 4: Simplify right side
    71,024x = 24,152,268,100
  5. Step 5: Solve for x
    x = 24,152,268,100/71,024
  6. Step 6: Final answer
    x = 340,057.84

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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.