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Finding the Third Proportional to 114,932.25 and 172,555.31

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Solution

The third proportional to 114,932.25 and 172,555.31 is: 259,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,932.25 : 172,555.31 = 172,555.31 : x
  2. Step 2: Convert to fraction form
    114,932.25/172,555.31 = 172,555.31/x
  3. Step 3: Cross multiply
    114,932.25x = 172,555.31 × 172,555.31
  4. Step 4: Simplify right side
    114,932.25x = 29,775,335,871.97
  5. Step 5: Solve for x
    x = 29,775,335,871.97/114,932.25
  6. Step 6: Final answer
    x = 259,068.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.