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Finding the Third Proportional to 123,036.75 and 175,942.13

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Solution

The third proportional to 123,036.75 and 175,942.13 is: 251,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,036.75 : 175,942.13 = 175,942.13 : x
  2. Step 2: Convert to fraction form
    123,036.75/175,942.13 = 175,942.13/x
  3. Step 3: Cross multiply
    123,036.75x = 175,942.13 × 175,942.13
  4. Step 4: Simplify right side
    123,036.75x = 30,955,631,349.52
  5. Step 5: Solve for x
    x = 30,955,631,349.52/123,036.75
  6. Step 6: Final answer
    x = 251,596.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.