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Finding the Third Proportional to 63,346.50 and 138,573

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Solution

The third proportional to 63,346.50 and 138,573 is: 303,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,346.50 : 138,573 = 138,573 : x
  2. Step 2: Convert to fraction form
    63,346.50/138,573 = 138,573/x
  3. Step 3: Cross multiply
    63,346.50x = 138,573 × 138,573
  4. Step 4: Simplify right side
    63,346.50x = 19,202,476,329
  5. Step 5: Solve for x
    x = 19,202,476,329/63,346.50
  6. Step 6: Final answer
    x = 303,133.97

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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.