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Finding the Third Proportional to 123,126.75 and 176,914.13

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Solution

The third proportional to 123,126.75 and 176,914.13 is: 254,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,126.75 : 176,914.13 = 176,914.13 : x
  2. Step 2: Convert to fraction form
    123,126.75/176,914.13 = 176,914.13/x
  3. Step 3: Cross multiply
    123,126.75x = 176,914.13 × 176,914.13
  4. Step 4: Simplify right side
    123,126.75x = 31,298,607,624.52
  5. Step 5: Solve for x
    x = 31,298,607,624.52/123,126.75
  6. Step 6: Final answer
    x = 254,198.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.