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Finding the Third Proportional to 114,934.50 and 172,559.25

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Solution

The third proportional to 114,934.50 and 172,559.25 is: 259,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,934.50 : 172,559.25 = 172,559.25 : x
  2. Step 2: Convert to fraction form
    114,934.50/172,559.25 = 172,559.25/x
  3. Step 3: Cross multiply
    114,934.50x = 172,559.25 × 172,559.25
  4. Step 4: Simplify right side
    114,934.50x = 29,776,694,760.56
  5. Step 5: Solve for x
    x = 29,776,694,760.56/114,934.50
  6. Step 6: Final answer
    x = 259,075.34

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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.