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Finding the Third Proportional to 116,961.75 and 176,274.75

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Solution

The third proportional to 116,961.75 and 176,274.75 is: 265,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,961.75 : 176,274.75 = 176,274.75 : x
  2. Step 2: Convert to fraction form
    116,961.75/176,274.75 = 176,274.75/x
  3. Step 3: Cross multiply
    116,961.75x = 176,274.75 × 176,274.75
  4. Step 4: Simplify right side
    116,961.75x = 31,072,787,487.56
  5. Step 5: Solve for x
    x = 31,072,787,487.56/116,961.75
  6. Step 6: Final answer
    x = 265,666.23

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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.