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Finding the Third Proportional to 106,805.25 and 252,124.59

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Solution

The third proportional to 106,805.25 and 252,124.59 is: 595,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,805.25 : 252,124.59 = 252,124.59 : x
  2. Step 2: Convert to fraction form
    106,805.25/252,124.59 = 252,124.59/x
  3. Step 3: Cross multiply
    106,805.25x = 252,124.59 × 252,124.59
  4. Step 4: Simplify right side
    106,805.25x = 63,566,810,773.60
  5. Step 5: Solve for x
    x = 63,566,810,773.60/106,805.25
  6. Step 6: Final answer
    x = 595,165.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.