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Finding the Third Proportional to 45,291 and 106,566.75

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Solution

The third proportional to 45,291 and 106,566.75 is: 250,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,291 : 106,566.75 = 106,566.75 : x
  2. Step 2: Convert to fraction form
    45,291/106,566.75 = 106,566.75/x
  3. Step 3: Cross multiply
    45,291x = 106,566.75 × 106,566.75
  4. Step 4: Simplify right side
    45,291x = 11,356,472,205.56
  5. Step 5: Solve for x
    x = 11,356,472,205.56/45,291
  6. Step 6: Final answer
    x = 250,744.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.