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Finding the Third Proportional to 50,283.56 and 108,542.94

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Solution

The third proportional to 50,283.56 and 108,542.94 is: 234,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,283.56 : 108,542.94 = 108,542.94 : x
  2. Step 2: Convert to fraction form
    50,283.56/108,542.94 = 108,542.94/x
  3. Step 3: Cross multiply
    50,283.56x = 108,542.94 × 108,542.94
  4. Step 4: Simplify right side
    50,283.56x = 11,781,569,281.13
  5. Step 5: Solve for x
    x = 11,781,569,281.13/50,283.56
  6. Step 6: Final answer
    x = 234,302.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.