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Finding the Third Proportional to 89,901 and 129,498

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Solution

The third proportional to 89,901 and 129,498 is: 186,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,901 : 129,498 = 129,498 : x
  2. Step 2: Convert to fraction form
    89,901/129,498 = 129,498/x
  3. Step 3: Cross multiply
    89,901x = 129,498 × 129,498
  4. Step 4: Simplify right side
    89,901x = 16,769,732,004
  5. Step 5: Solve for x
    x = 16,769,732,004/89,901
  6. Step 6: Final answer
    x = 186,535.54

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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.