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Finding the Third Proportional to 72,800 and 111,304

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Solution

The third proportional to 72,800 and 111,304 is: 170,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,800 : 111,304 = 111,304 : x
  2. Step 2: Convert to fraction form
    72,800/111,304 = 111,304/x
  3. Step 3: Cross multiply
    72,800x = 111,304 × 111,304
  4. Step 4: Simplify right side
    72,800x = 12,388,580,416
  5. Step 5: Solve for x
    x = 12,388,580,416/72,800
  6. Step 6: Final answer
    x = 170,172.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.