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Finding the Third Proportional to 67,952 and 102,954

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Solution

The third proportional to 67,952 and 102,954 is: 155,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,952 : 102,954 = 102,954 : x
  2. Step 2: Convert to fraction form
    67,952/102,954 = 102,954/x
  3. Step 3: Cross multiply
    67,952x = 102,954 × 102,954
  4. Step 4: Simplify right side
    67,952x = 10,599,526,116
  5. Step 5: Solve for x
    x = 10,599,526,116/67,952
  6. Step 6: Final answer
    x = 155,985.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.