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Finding the Third Proportional to 51,815.25 and 79,226.25

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Solution

The third proportional to 51,815.25 and 79,226.25 is: 121,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,815.25 : 79,226.25 = 79,226.25 : x
  2. Step 2: Convert to fraction form
    51,815.25/79,226.25 = 79,226.25/x
  3. Step 3: Cross multiply
    51,815.25x = 79,226.25 × 79,226.25
  4. Step 4: Simplify right side
    51,815.25x = 6,276,798,689.06
  5. Step 5: Solve for x
    x = 6,276,798,689.06/51,815.25
  6. Step 6: Final answer
    x = 121,138.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.