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Finding the Third Proportional to 52,966 and 74,252

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Solution

The third proportional to 52,966 and 74,252 is: 104,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,966 : 74,252 = 74,252 : x
  2. Step 2: Convert to fraction form
    52,966/74,252 = 74,252/x
  3. Step 3: Cross multiply
    52,966x = 74,252 × 74,252
  4. Step 4: Simplify right side
    52,966x = 5,513,359,504
  5. Step 5: Solve for x
    x = 5,513,359,504/52,966
  6. Step 6: Final answer
    x = 104,092.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.