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Finding the Third Proportional to 60,059 and 93,002

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Solution

The third proportional to 60,059 and 93,002 is: 144,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,059 : 93,002 = 93,002 : x
  2. Step 2: Convert to fraction form
    60,059/93,002 = 93,002/x
  3. Step 3: Cross multiply
    60,059x = 93,002 × 93,002
  4. Step 4: Simplify right side
    60,059x = 8,649,372,004
  5. Step 5: Solve for x
    x = 8,649,372,004/60,059
  6. Step 6: Final answer
    x = 144,014.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.