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Finding the Third Proportional to 114,999.75 and 176,144.63

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Solution

The third proportional to 114,999.75 and 176,144.63 is: 269,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,999.75 : 176,144.63 = 176,144.63 : x
  2. Step 2: Convert to fraction form
    114,999.75/176,144.63 = 176,144.63/x
  3. Step 3: Cross multiply
    114,999.75x = 176,144.63 × 176,144.63
  4. Step 4: Simplify right side
    114,999.75x = 31,026,928,916.39
  5. Step 5: Solve for x
    x = 31,026,928,916.39/114,999.75
  6. Step 6: Final answer
    x = 269,799.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.