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Finding the Third Proportional to 63,433.13 and 135,310.50

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Solution

The third proportional to 63,433.13 and 135,310.50 is: 288,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,433.13 : 135,310.50 = 135,310.50 : x
  2. Step 2: Convert to fraction form
    63,433.13/135,310.50 = 135,310.50/x
  3. Step 3: Cross multiply
    63,433.13x = 135,310.50 × 135,310.50
  4. Step 4: Simplify right side
    63,433.13x = 18,308,931,410.25
  5. Step 5: Solve for x
    x = 18,308,931,410.25/63,433.13
  6. Step 6: Final answer
    x = 288,633.60

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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.