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Finding the Third Proportional to 43,120 and 63,004

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Solution

The third proportional to 43,120 and 63,004 is: 92,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,120 : 63,004 = 63,004 : x
  2. Step 2: Convert to fraction form
    43,120/63,004 = 63,004/x
  3. Step 3: Cross multiply
    43,120x = 63,004 × 63,004
  4. Step 4: Simplify right side
    43,120x = 3,969,504,016
  5. Step 5: Solve for x
    x = 3,969,504,016/43,120
  6. Step 6: Final answer
    x = 92,057.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.