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Finding the Third Proportional to 52,503.19 and 79,185.09

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Solution

The third proportional to 52,503.19 and 79,185.09 is: 119,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.19 : 79,185.09 = 79,185.09 : x
  2. Step 2: Convert to fraction form
    52,503.19/79,185.09 = 79,185.09/x
  3. Step 3: Cross multiply
    52,503.19x = 79,185.09 × 79,185.09
  4. Step 4: Simplify right side
    52,503.19x = 6,270,279,072.20
  5. Step 5: Solve for x
    x = 6,270,279,072.20/52,503.19
  6. Step 6: Final answer
    x = 119,426.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.