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Finding the Third Proportional to 63,676.13 and 136,100.25

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Solution

The third proportional to 63,676.13 and 136,100.25 is: 290,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,676.13 : 136,100.25 = 136,100.25 : x
  2. Step 2: Convert to fraction form
    63,676.13/136,100.25 = 136,100.25/x
  3. Step 3: Cross multiply
    63,676.13x = 136,100.25 × 136,100.25
  4. Step 4: Simplify right side
    63,676.13x = 18,523,278,050.06
  5. Step 5: Solve for x
    x = 18,523,278,050.06/63,676.13
  6. Step 6: Final answer
    x = 290,898.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.