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Finding the Third Proportional to 74,662 and 115,604.25

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Solution

The third proportional to 74,662 and 115,604.25 is: 178,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,662 : 115,604.25 = 115,604.25 : x
  2. Step 2: Convert to fraction form
    74,662/115,604.25 = 115,604.25/x
  3. Step 3: Cross multiply
    74,662x = 115,604.25 × 115,604.25
  4. Step 4: Simplify right side
    74,662x = 13,364,342,618.06
  5. Step 5: Solve for x
    x = 13,364,342,618.06/74,662
  6. Step 6: Final answer
    x = 178,997.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.