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Finding the Third Proportional to 71,372 and 155,046

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Solution

The third proportional to 71,372 and 155,046 is: 336,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372 : 155,046 = 155,046 : x
  2. Step 2: Convert to fraction form
    71,372/155,046 = 155,046/x
  3. Step 3: Cross multiply
    71,372x = 155,046 × 155,046
  4. Step 4: Simplify right side
    71,372x = 24,039,262,116
  5. Step 5: Solve for x
    x = 24,039,262,116/71,372
  6. Step 6: Final answer
    x = 336,816.43

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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.