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Finding the Third Proportional to 80,433 and 124,537.50

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Solution

The third proportional to 80,433 and 124,537.50 is: 192,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,433 : 124,537.50 = 124,537.50 : x
  2. Step 2: Convert to fraction form
    80,433/124,537.50 = 124,537.50/x
  3. Step 3: Cross multiply
    80,433x = 124,537.50 × 124,537.50
  4. Step 4: Simplify right side
    80,433x = 15,509,588,906.25
  5. Step 5: Solve for x
    x = 15,509,588,906.25/80,433
  6. Step 6: Final answer
    x = 192,826.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.