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Finding the Third Proportional to 63,788.34 and 137,327.06

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Solution

The third proportional to 63,788.34 and 137,327.06 is: 295,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,788.34 : 137,327.06 = 137,327.06 : x
  2. Step 2: Convert to fraction form
    63,788.34/137,327.06 = 137,327.06/x
  3. Step 3: Cross multiply
    63,788.34x = 137,327.06 × 137,327.06
  4. Step 4: Simplify right side
    63,788.34x = 18,858,722,094.88
  5. Step 5: Solve for x
    x = 18,858,722,094.88/63,788.34
  6. Step 6: Final answer
    x = 295,645.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.