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Finding the Third Proportional to 123,206.06 and 179,964.70

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Solution

The third proportional to 123,206.06 and 179,964.70 is: 262,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,206.06 : 179,964.70 = 179,964.70 : x
  2. Step 2: Convert to fraction form
    123,206.06/179,964.70 = 179,964.70/x
  3. Step 3: Cross multiply
    123,206.06x = 179,964.70 × 179,964.70
  4. Step 4: Simplify right side
    123,206.06x = 32,387,294,370.87
  5. Step 5: Solve for x
    x = 32,387,294,370.87/123,206.06
  6. Step 6: Final answer
    x = 262,870.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.