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Finding the Third Proportional to 82,304 and 123,104

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Solution

The third proportional to 82,304 and 123,104 is: 184,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,304 : 123,104 = 123,104 : x
  2. Step 2: Convert to fraction form
    82,304/123,104 = 123,104/x
  3. Step 3: Cross multiply
    82,304x = 123,104 × 123,104
  4. Step 4: Simplify right side
    82,304x = 15,154,594,816
  5. Step 5: Solve for x
    x = 15,154,594,816/82,304
  6. Step 6: Final answer
    x = 184,129.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.