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Finding the Third Proportional to 94,728 and 145,980

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Solution

The third proportional to 94,728 and 145,980 is: 224,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,728 : 145,980 = 145,980 : x
  2. Step 2: Convert to fraction form
    94,728/145,980 = 145,980/x
  3. Step 3: Cross multiply
    94,728x = 145,980 × 145,980
  4. Step 4: Simplify right side
    94,728x = 21,310,160,400
  5. Step 5: Solve for x
    x = 21,310,160,400/94,728
  6. Step 6: Final answer
    x = 224,961.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.