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Finding the Third Proportional to 57,607.37 and 125,767.45

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Solution

The third proportional to 57,607.37 and 125,767.45 is: 274,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,607.37 : 125,767.45 = 125,767.45 : x
  2. Step 2: Convert to fraction form
    57,607.37/125,767.45 = 125,767.45/x
  3. Step 3: Cross multiply
    57,607.37x = 125,767.45 × 125,767.45
  4. Step 4: Simplify right side
    57,607.37x = 15,817,451,528.63
  5. Step 5: Solve for x
    x = 15,817,451,528.63/57,607.37
  6. Step 6: Final answer
    x = 274,573.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.