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Finding the Third Proportional to 59,962 and 87,999

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Solution

The third proportional to 59,962 and 87,999 is: 129,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,962 : 87,999 = 87,999 : x
  2. Step 2: Convert to fraction form
    59,962/87,999 = 87,999/x
  3. Step 3: Cross multiply
    59,962x = 87,999 × 87,999
  4. Step 4: Simplify right side
    59,962x = 7,743,824,001
  5. Step 5: Solve for x
    x = 7,743,824,001/59,962
  6. Step 6: Final answer
    x = 129,145.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.