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Finding the Third Proportional to 115,789.50 and 177,268.50

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Solution

The third proportional to 115,789.50 and 177,268.50 is: 271,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,789.50 : 177,268.50 = 177,268.50 : x
  2. Step 2: Convert to fraction form
    115,789.50/177,268.50 = 177,268.50/x
  3. Step 3: Cross multiply
    115,789.50x = 177,268.50 × 177,268.50
  4. Step 4: Simplify right side
    115,789.50x = 31,424,121,092.25
  5. Step 5: Solve for x
    x = 31,424,121,092.25/115,789.50
  6. Step 6: Final answer
    x = 271,390.08

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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.