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Finding the Third Proportional to 89,952 and 129,954

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Solution

The third proportional to 89,952 and 129,954 is: 187,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,952 : 129,954 = 129,954 : x
  2. Step 2: Convert to fraction form
    89,952/129,954 = 129,954/x
  3. Step 3: Cross multiply
    89,952x = 129,954 × 129,954
  4. Step 4: Simplify right side
    89,952x = 16,888,042,116
  5. Step 5: Solve for x
    x = 16,888,042,116/89,952
  6. Step 6: Final answer
    x = 187,745.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.