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Finding the Third Proportional to 70,888 and 153,512

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Solution

The third proportional to 70,888 and 153,512 is: 332,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,888 : 153,512 = 153,512 : x
  2. Step 2: Convert to fraction form
    70,888/153,512 = 153,512/x
  3. Step 3: Cross multiply
    70,888x = 153,512 × 153,512
  4. Step 4: Simplify right side
    70,888x = 23,565,934,144
  5. Step 5: Solve for x
    x = 23,565,934,144/70,888
  6. Step 6: Final answer
    x = 332,438.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.