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Finding the Third Proportional to 81,329.63 and 125,165.25

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Solution

The third proportional to 81,329.63 and 125,165.25 is: 192,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,329.63 : 125,165.25 = 125,165.25 : x
  2. Step 2: Convert to fraction form
    81,329.63/125,165.25 = 125,165.25/x
  3. Step 3: Cross multiply
    81,329.63x = 125,165.25 × 125,165.25
  4. Step 4: Simplify right side
    81,329.63x = 15,666,339,807.56
  5. Step 5: Solve for x
    x = 15,666,339,807.56/81,329.63
  6. Step 6: Final answer
    x = 192,627.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.