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Finding the Third Proportional to 71,078.75 and 151,999

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Solution

The third proportional to 71,078.75 and 151,999 is: 325,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,078.75 : 151,999 = 151,999 : x
  2. Step 2: Convert to fraction form
    71,078.75/151,999 = 151,999/x
  3. Step 3: Cross multiply
    71,078.75x = 151,999 × 151,999
  4. Step 4: Simplify right side
    71,078.75x = 23,103,696,001
  5. Step 5: Solve for x
    x = 23,103,696,001/71,078.75
  6. Step 6: Final answer
    x = 325,043.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.