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Finding the Third Proportional to 25,461.50 and 60,200.50

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Solution

The third proportional to 25,461.50 and 60,200.50 is: 142,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,461.50 : 60,200.50 = 60,200.50 : x
  2. Step 2: Convert to fraction form
    25,461.50/60,200.50 = 60,200.50/x
  3. Step 3: Cross multiply
    25,461.50x = 60,200.50 × 60,200.50
  4. Step 4: Simplify right side
    25,461.50x = 3,624,100,200.25
  5. Step 5: Solve for x
    x = 3,624,100,200.25/25,461.50
  6. Step 6: Final answer
    x = 142,336.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.