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Finding the Third Proportional to 59,166 and 128,698

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Solution

The third proportional to 59,166 and 128,698 is: 279,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,166 : 128,698 = 128,698 : x
  2. Step 2: Convert to fraction form
    59,166/128,698 = 128,698/x
  3. Step 3: Cross multiply
    59,166x = 128,698 × 128,698
  4. Step 4: Simplify right side
    59,166x = 16,563,175,204
  5. Step 5: Solve for x
    x = 16,563,175,204/59,166
  6. Step 6: Final answer
    x = 279,944.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.