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Finding the Third Proportional to 63,473.25 and 138,017.25

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Solution

The third proportional to 63,473.25 and 138,017.25 is: 300,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,473.25 : 138,017.25 = 138,017.25 : x
  2. Step 2: Convert to fraction form
    63,473.25/138,017.25 = 138,017.25/x
  3. Step 3: Cross multiply
    63,473.25x = 138,017.25 × 138,017.25
  4. Step 4: Simplify right side
    63,473.25x = 19,048,761,297.56
  5. Step 5: Solve for x
    x = 19,048,761,297.56/63,473.25
  6. Step 6: Final answer
    x = 300,106.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.