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Finding the Third Proportional to 94,966 and 147,629

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Solution

The third proportional to 94,966 and 147,629 is: 229,496.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,966 : 147,629 = 147,629 : x
  2. Step 2: Convert to fraction form
    94,966/147,629 = 147,629/x
  3. Step 3: Cross multiply
    94,966x = 147,629 × 147,629
  4. Step 4: Simplify right side
    94,966x = 21,794,321,641
  5. Step 5: Solve for x
    x = 21,794,321,641/94,966
  6. Step 6: Final answer
    x = 229,496.05

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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.