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Finding the Third Proportional to 52,966 and 78,729

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Solution

The third proportional to 52,966 and 78,729 is: 117,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,966 : 78,729 = 78,729 : x
  2. Step 2: Convert to fraction form
    52,966/78,729 = 78,729/x
  3. Step 3: Cross multiply
    52,966x = 78,729 × 78,729
  4. Step 4: Simplify right side
    52,966x = 6,198,255,441
  5. Step 5: Solve for x
    x = 6,198,255,441/52,966
  6. Step 6: Final answer
    x = 117,023.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.