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Finding the Third Proportional to 71,496 and 153,954

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Solution

The third proportional to 71,496 and 153,954 is: 331,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,496 : 153,954 = 153,954 : x
  2. Step 2: Convert to fraction form
    71,496/153,954 = 153,954/x
  3. Step 3: Cross multiply
    71,496x = 153,954 × 153,954
  4. Step 4: Simplify right side
    71,496x = 23,701,834,116
  5. Step 5: Solve for x
    x = 23,701,834,116/71,496
  6. Step 6: Final answer
    x = 331,512.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.