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Finding the Third Proportional to 51,860.25 and 80,094.19

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Solution

The third proportional to 51,860.25 and 80,094.19 is: 123,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,860.25 : 80,094.19 = 80,094.19 : x
  2. Step 2: Convert to fraction form
    51,860.25/80,094.19 = 80,094.19/x
  3. Step 3: Cross multiply
    51,860.25x = 80,094.19 × 80,094.19
  4. Step 4: Simplify right side
    51,860.25x = 6,415,078,871.29
  5. Step 5: Solve for x
    x = 6,415,078,871.29/51,860.25
  6. Step 6: Final answer
    x = 123,699.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.