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Finding the Third Proportional to 83,704 and 124,108

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Solution

The third proportional to 83,704 and 124,108 is: 184,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,704 : 124,108 = 124,108 : x
  2. Step 2: Convert to fraction form
    83,704/124,108 = 124,108/x
  3. Step 3: Cross multiply
    83,704x = 124,108 × 124,108
  4. Step 4: Simplify right side
    83,704x = 15,402,795,664
  5. Step 5: Solve for x
    x = 15,402,795,664/83,704
  6. Step 6: Final answer
    x = 184,015.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.