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Finding the Third Proportional to 49,857.75 and 108,461.25

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Solution

The third proportional to 49,857.75 and 108,461.25 is: 235,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,857.75 : 108,461.25 = 108,461.25 : x
  2. Step 2: Convert to fraction form
    49,857.75/108,461.25 = 108,461.25/x
  3. Step 3: Cross multiply
    49,857.75x = 108,461.25 × 108,461.25
  4. Step 4: Simplify right side
    49,857.75x = 11,763,842,751.56
  5. Step 5: Solve for x
    x = 11,763,842,751.56/49,857.75
  6. Step 6: Final answer
    x = 235,948.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.