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Finding the Third Proportional to 81,446.50 and 124,529

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Solution

The third proportional to 81,446.50 and 124,529 is: 190,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,446.50 : 124,529 = 124,529 : x
  2. Step 2: Convert to fraction form
    81,446.50/124,529 = 124,529/x
  3. Step 3: Cross multiply
    81,446.50x = 124,529 × 124,529
  4. Step 4: Simplify right side
    81,446.50x = 15,507,471,841
  5. Step 5: Solve for x
    x = 15,507,471,841/81,446.50
  6. Step 6: Final answer
    x = 190,400.72

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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.