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Finding the Third Proportional to 58,198.50 and 142,489.13

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Solution

The third proportional to 58,198.50 and 142,489.13 is: 348,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,198.50 : 142,489.13 = 142,489.13 : x
  2. Step 2: Convert to fraction form
    58,198.50/142,489.13 = 142,489.13/x
  3. Step 3: Cross multiply
    58,198.50x = 142,489.13 × 142,489.13
  4. Step 4: Simplify right side
    58,198.50x = 20,303,150,743.27
  5. Step 5: Solve for x
    x = 20,303,150,743.27/58,198.50
  6. Step 6: Final answer
    x = 348,860.38

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.