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Finding the Third Proportional to 80,955 and 122,564.25

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Solution

The third proportional to 80,955 and 122,564.25 is: 185,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,955 : 122,564.25 = 122,564.25 : x
  2. Step 2: Convert to fraction form
    80,955/122,564.25 = 122,564.25/x
  3. Step 3: Cross multiply
    80,955x = 122,564.25 × 122,564.25
  4. Step 4: Simplify right side
    80,955x = 15,021,995,378.06
  5. Step 5: Solve for x
    x = 15,021,995,378.06/80,955
  6. Step 6: Final answer
    x = 185,559.82

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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.