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Finding the Third Proportional to 60,223.50 and 135,796.50

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Solution

The third proportional to 60,223.50 and 135,796.50 is: 306,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,223.50 : 135,796.50 = 135,796.50 : x
  2. Step 2: Convert to fraction form
    60,223.50/135,796.50 = 135,796.50/x
  3. Step 3: Cross multiply
    60,223.50x = 135,796.50 × 135,796.50
  4. Step 4: Simplify right side
    60,223.50x = 18,440,689,412.25
  5. Step 5: Solve for x
    x = 18,440,689,412.25/60,223.50
  6. Step 6: Final answer
    x = 306,204.21

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.