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Finding the Third Proportional to 89,886 and 129,477

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Solution

The third proportional to 89,886 and 129,477 is: 186,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,886 : 129,477 = 129,477 : x
  2. Step 2: Convert to fraction form
    89,886/129,477 = 129,477/x
  3. Step 3: Cross multiply
    89,886x = 129,477 × 129,477
  4. Step 4: Simplify right side
    89,886x = 16,764,293,529
  5. Step 5: Solve for x
    x = 16,764,293,529/89,886
  6. Step 6: Final answer
    x = 186,506.17

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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.