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Finding the Third Proportional to 70,584 and 155,162

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Solution

The third proportional to 70,584 and 155,162 is: 341,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,584 : 155,162 = 155,162 : x
  2. Step 2: Convert to fraction form
    70,584/155,162 = 155,162/x
  3. Step 3: Cross multiply
    70,584x = 155,162 × 155,162
  4. Step 4: Simplify right side
    70,584x = 24,075,246,244
  5. Step 5: Solve for x
    x = 24,075,246,244/70,584
  6. Step 6: Final answer
    x = 341,086.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.