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Finding the Third Proportional to 63,515 and 135,464.50

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Solution

The third proportional to 63,515 and 135,464.50 is: 288,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,515 : 135,464.50 = 135,464.50 : x
  2. Step 2: Convert to fraction form
    63,515/135,464.50 = 135,464.50/x
  3. Step 3: Cross multiply
    63,515x = 135,464.50 × 135,464.50
  4. Step 4: Simplify right side
    63,515x = 18,350,630,760.25
  5. Step 5: Solve for x
    x = 18,350,630,760.25/63,515
  6. Step 6: Final answer
    x = 288,918.06

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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.