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Finding the Third Proportional to 58,513.50 and 123,999

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Solution

The third proportional to 58,513.50 and 123,999 is: 262,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,513.50 : 123,999 = 123,999 : x
  2. Step 2: Convert to fraction form
    58,513.50/123,999 = 123,999/x
  3. Step 3: Cross multiply
    58,513.50x = 123,999 × 123,999
  4. Step 4: Simplify right side
    58,513.50x = 15,375,752,001
  5. Step 5: Solve for x
    x = 15,375,752,001/58,513.50
  6. Step 6: Final answer
    x = 262,772.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.