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Finding the Third Proportional to 75,105.94 and 115,970.63

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Solution

The third proportional to 75,105.94 and 115,970.63 is: 179,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,105.94 : 115,970.63 = 115,970.63 : x
  2. Step 2: Convert to fraction form
    75,105.94/115,970.63 = 115,970.63/x
  3. Step 3: Cross multiply
    75,105.94x = 115,970.63 × 115,970.63
  4. Step 4: Simplify right side
    75,105.94x = 13,449,185,862.89
  5. Step 5: Solve for x
    x = 13,449,185,862.89/75,105.94
  6. Step 6: Final answer
    x = 179,069.54

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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.