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Finding the Third Proportional to 70,600 and 152,048

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Solution

The third proportional to 70,600 and 152,048 is: 327,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,600 : 152,048 = 152,048 : x
  2. Step 2: Convert to fraction form
    70,600/152,048 = 152,048/x
  3. Step 3: Cross multiply
    70,600x = 152,048 × 152,048
  4. Step 4: Simplify right side
    70,600x = 23,118,594,304
  5. Step 5: Solve for x
    x = 23,118,594,304/70,600
  6. Step 6: Final answer
    x = 327,458.84

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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.