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Finding the Third Proportional to 43,459 and 104,659

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Solution

The third proportional to 43,459 and 104,659 is: 252,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,459 : 104,659 = 104,659 : x
  2. Step 2: Convert to fraction form
    43,459/104,659 = 104,659/x
  3. Step 3: Cross multiply
    43,459x = 104,659 × 104,659
  4. Step 4: Simplify right side
    43,459x = 10,953,506,281
  5. Step 5: Solve for x
    x = 10,953,506,281/43,459
  6. Step 6: Final answer
    x = 252,042.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.