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Finding the Third Proportional to 63,204.75 and 138,483

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Solution

The third proportional to 63,204.75 and 138,483 is: 303,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,204.75 : 138,483 = 138,483 : x
  2. Step 2: Convert to fraction form
    63,204.75/138,483 = 138,483/x
  3. Step 3: Cross multiply
    63,204.75x = 138,483 × 138,483
  4. Step 4: Simplify right side
    63,204.75x = 19,177,541,289
  5. Step 5: Solve for x
    x = 19,177,541,289/63,204.75
  6. Step 6: Final answer
    x = 303,419.30

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Why These Related Problems?

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