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Finding the Third Proportional to 63,063 and 135,693

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Solution

The third proportional to 63,063 and 135,693 is: 291,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,063 : 135,693 = 135,693 : x
  2. Step 2: Convert to fraction form
    63,063/135,693 = 135,693/x
  3. Step 3: Cross multiply
    63,063x = 135,693 × 135,693
  4. Step 4: Simplify right side
    63,063x = 18,412,590,249
  5. Step 5: Solve for x
    x = 18,412,590,249/63,063
  6. Step 6: Final answer
    x = 291,971.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.