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Finding the Third Proportional to 63,817.50 and 135,705

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Solution

The third proportional to 63,817.50 and 135,705 is: 288,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,817.50 : 135,705 = 135,705 : x
  2. Step 2: Convert to fraction form
    63,817.50/135,705 = 135,705/x
  3. Step 3: Cross multiply
    63,817.50x = 135,705 × 135,705
  4. Step 4: Simplify right side
    63,817.50x = 18,415,847,025
  5. Step 5: Solve for x
    x = 18,415,847,025/63,817.50
  6. Step 6: Final answer
    x = 288,570.49

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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.