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Finding the Third Proportional to 133,046 and 199,563

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Solution

The third proportional to 133,046 and 199,563 is: 299,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046 : 199,563 = 199,563 : x
  2. Step 2: Convert to fraction form
    133,046/199,563 = 199,563/x
  3. Step 3: Cross multiply
    133,046x = 199,563 × 199,563
  4. Step 4: Simplify right side
    133,046x = 39,825,390,969
  5. Step 5: Solve for x
    x = 39,825,390,969/133,046
  6. Step 6: Final answer
    x = 299,335.50

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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.