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Finding the Third Proportional to 57,532.50 and 125,824.50

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Solution

The third proportional to 57,532.50 and 125,824.50 is: 275,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,532.50 : 125,824.50 = 125,824.50 : x
  2. Step 2: Convert to fraction form
    57,532.50/125,824.50 = 125,824.50/x
  3. Step 3: Cross multiply
    57,532.50x = 125,824.50 × 125,824.50
  4. Step 4: Simplify right side
    57,532.50x = 15,831,804,800.25
  5. Step 5: Solve for x
    x = 15,831,804,800.25/57,532.50
  6. Step 6: Final answer
    x = 275,180.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.