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Finding the Third Proportional to 63,139.50 and 138,150

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Solution

The third proportional to 63,139.50 and 138,150 is: 302,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,139.50 : 138,150 = 138,150 : x
  2. Step 2: Convert to fraction form
    63,139.50/138,150 = 138,150/x
  3. Step 3: Cross multiply
    63,139.50x = 138,150 × 138,150
  4. Step 4: Simplify right side
    63,139.50x = 19,085,422,500
  5. Step 5: Solve for x
    x = 19,085,422,500/63,139.50
  6. Step 6: Final answer
    x = 302,273.89

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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.