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Finding the Third Proportional to 115,005.38 and 176,523.75

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Solution

The third proportional to 115,005.38 and 176,523.75 is: 270,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,005.38 : 176,523.75 = 176,523.75 : x
  2. Step 2: Convert to fraction form
    115,005.38/176,523.75 = 176,523.75/x
  3. Step 3: Cross multiply
    115,005.38x = 176,523.75 × 176,523.75
  4. Step 4: Simplify right side
    115,005.38x = 31,160,634,314.06
  5. Step 5: Solve for x
    x = 31,160,634,314.06/115,005.38
  6. Step 6: Final answer
    x = 270,949.37

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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.