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Finding the Third Proportional to 85,884 and 129,768

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Solution

The third proportional to 85,884 and 129,768 is: 196,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,884 : 129,768 = 129,768 : x
  2. Step 2: Convert to fraction form
    85,884/129,768 = 129,768/x
  3. Step 3: Cross multiply
    85,884x = 129,768 × 129,768
  4. Step 4: Simplify right side
    85,884x = 16,839,733,824
  5. Step 5: Solve for x
    x = 16,839,733,824/85,884
  6. Step 6: Final answer
    x = 196,075.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.