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Finding the Third Proportional to 71,512 and 157,028

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Solution

The third proportional to 71,512 and 157,028 is: 344,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,512 : 157,028 = 157,028 : x
  2. Step 2: Convert to fraction form
    71,512/157,028 = 157,028/x
  3. Step 3: Cross multiply
    71,512x = 157,028 × 157,028
  4. Step 4: Simplify right side
    71,512x = 24,657,792,784
  5. Step 5: Solve for x
    x = 24,657,792,784/71,512
  6. Step 6: Final answer
    x = 344,806.37

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Why These Related Problems?

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