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Finding the Third Proportional to 70,239 and 152,142

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Solution

The third proportional to 70,239 and 152,142 is: 329,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,239 : 152,142 = 152,142 : x
  2. Step 2: Convert to fraction form
    70,239/152,142 = 152,142/x
  3. Step 3: Cross multiply
    70,239x = 152,142 × 152,142
  4. Step 4: Simplify right side
    70,239x = 23,147,188,164
  5. Step 5: Solve for x
    x = 23,147,188,164/70,239
  6. Step 6: Final answer
    x = 329,548.94

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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.