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Finding the Third Proportional to 123,178.50 and 195,837.75

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Solution

The third proportional to 123,178.50 and 195,837.75 is: 311,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,178.50 : 195,837.75 = 195,837.75 : x
  2. Step 2: Convert to fraction form
    123,178.50/195,837.75 = 195,837.75/x
  3. Step 3: Cross multiply
    123,178.50x = 195,837.75 × 195,837.75
  4. Step 4: Simplify right side
    123,178.50x = 38,352,424,325.06
  5. Step 5: Solve for x
    x = 38,352,424,325.06/123,178.50
  6. Step 6: Final answer
    x = 311,356.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.