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Finding the Third Proportional to 63,459 and 135,669

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Solution

The third proportional to 63,459 and 135,669 is: 290,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,459 : 135,669 = 135,669 : x
  2. Step 2: Convert to fraction form
    63,459/135,669 = 135,669/x
  3. Step 3: Cross multiply
    63,459x = 135,669 × 135,669
  4. Step 4: Simplify right side
    63,459x = 18,406,077,561
  5. Step 5: Solve for x
    x = 18,406,077,561/63,459
  6. Step 6: Final answer
    x = 290,046.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.