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Finding the Third Proportional to 72,704 and 152,048

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Solution

The third proportional to 72,704 and 152,048 is: 317,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,704 : 152,048 = 152,048 : x
  2. Step 2: Convert to fraction form
    72,704/152,048 = 152,048/x
  3. Step 3: Cross multiply
    72,704x = 152,048 × 152,048
  4. Step 4: Simplify right side
    72,704x = 23,118,594,304
  5. Step 5: Solve for x
    x = 23,118,594,304/72,704
  6. Step 6: Final answer
    x = 317,982.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.