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Finding the Third Proportional to 80,784 and 124,003

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Solution

The third proportional to 80,784 and 124,003 is: 190,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,784 : 124,003 = 124,003 : x
  2. Step 2: Convert to fraction form
    80,784/124,003 = 124,003/x
  3. Step 3: Cross multiply
    80,784x = 124,003 × 124,003
  4. Step 4: Simplify right side
    80,784x = 15,376,744,009
  5. Step 5: Solve for x
    x = 15,376,744,009/80,784
  6. Step 6: Final answer
    x = 190,343.93

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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.