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Finding the Third Proportional to 123,647 and 186,050.50

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Solution

The third proportional to 123,647 and 186,050.50 is: 279,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,647 : 186,050.50 = 186,050.50 : x
  2. Step 2: Convert to fraction form
    123,647/186,050.50 = 186,050.50/x
  3. Step 3: Cross multiply
    123,647x = 186,050.50 × 186,050.50
  4. Step 4: Simplify right side
    123,647x = 34,614,788,550.25
  5. Step 5: Solve for x
    x = 34,614,788,550.25/123,647
  6. Step 6: Final answer
    x = 279,948.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.