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Finding the Third Proportional to 94,500 and 145,002

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Solution

The third proportional to 94,500 and 145,002 is: 222,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,500 : 145,002 = 145,002 : x
  2. Step 2: Convert to fraction form
    94,500/145,002 = 145,002/x
  3. Step 3: Cross multiply
    94,500x = 145,002 × 145,002
  4. Step 4: Simplify right side
    94,500x = 21,025,580,004
  5. Step 5: Solve for x
    x = 21,025,580,004/94,500
  6. Step 6: Final answer
    x = 222,492.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.