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Finding the Third Proportional to 63,828 and 135,725.63

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Solution

The third proportional to 63,828 and 135,725.63 is: 288,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,828 : 135,725.63 = 135,725.63 : x
  2. Step 2: Convert to fraction form
    63,828/135,725.63 = 135,725.63/x
  3. Step 3: Cross multiply
    63,828x = 135,725.63 × 135,725.63
  4. Step 4: Simplify right side
    63,828x = 18,421,445,281.64
  5. Step 5: Solve for x
    x = 18,421,445,281.64/63,828
  6. Step 6: Final answer
    x = 288,610.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.