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Finding the Third Proportional to 63,469 and 135,088

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Solution

The third proportional to 63,469 and 135,088 is: 287,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,469 : 135,088 = 135,088 : x
  2. Step 2: Convert to fraction form
    63,469/135,088 = 135,088/x
  3. Step 3: Cross multiply
    63,469x = 135,088 × 135,088
  4. Step 4: Simplify right side
    63,469x = 18,248,767,744
  5. Step 5: Solve for x
    x = 18,248,767,744/63,469
  6. Step 6: Final answer
    x = 287,522.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.