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Finding the Third Proportional to 63,169.75 and 138,208.75

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Solution

The third proportional to 63,169.75 and 138,208.75 is: 302,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,169.75 : 138,208.75 = 138,208.75 : x
  2. Step 2: Convert to fraction form
    63,169.75/138,208.75 = 138,208.75/x
  3. Step 3: Cross multiply
    63,169.75x = 138,208.75 × 138,208.75
  4. Step 4: Simplify right side
    63,169.75x = 19,101,658,576.56
  5. Step 5: Solve for x
    x = 19,101,658,576.56/63,169.75
  6. Step 6: Final answer
    x = 302,386.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.