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Finding the Third Proportional to 133,042.50 and 199,042.31

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Solution

The third proportional to 133,042.50 and 199,042.31 is: 297,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042.50 : 199,042.31 = 199,042.31 : x
  2. Step 2: Convert to fraction form
    133,042.50/199,042.31 = 199,042.31/x
  3. Step 3: Cross multiply
    133,042.50x = 199,042.31 × 199,042.31
  4. Step 4: Simplify right side
    133,042.50x = 39,617,842,165.35
  5. Step 5: Solve for x
    x = 39,617,842,165.35/133,042.50
  6. Step 6: Final answer
    x = 297,783.36

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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.