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Finding the Third Proportional to 51,197.06 and 78,914.25

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Solution

The third proportional to 51,197.06 and 78,914.25 is: 121,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,197.06 : 78,914.25 = 78,914.25 : x
  2. Step 2: Convert to fraction form
    51,197.06/78,914.25 = 78,914.25/x
  3. Step 3: Cross multiply
    51,197.06x = 78,914.25 × 78,914.25
  4. Step 4: Simplify right side
    51,197.06x = 6,227,458,853.06
  5. Step 5: Solve for x
    x = 6,227,458,853.06/51,197.06
  6. Step 6: Final answer
    x = 121,637.03

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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.