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Finding the Third Proportional to 123,939 and 175,216.50

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Solution

The third proportional to 123,939 and 175,216.50 is: 247,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,939 : 175,216.50 = 175,216.50 : x
  2. Step 2: Convert to fraction form
    123,939/175,216.50 = 175,216.50/x
  3. Step 3: Cross multiply
    123,939x = 175,216.50 × 175,216.50
  4. Step 4: Simplify right side
    123,939x = 30,700,821,872.25
  5. Step 5: Solve for x
    x = 30,700,821,872.25/123,939
  6. Step 6: Final answer
    x = 247,709.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.