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Finding the Third Proportional to 52,512.47 and 78,425.72

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Solution

The third proportional to 52,512.47 and 78,425.72 is: 117,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,512.47 : 78,425.72 = 78,425.72 : x
  2. Step 2: Convert to fraction form
    52,512.47/78,425.72 = 78,425.72/x
  3. Step 3: Cross multiply
    52,512.47x = 78,425.72 × 78,425.72
  4. Step 4: Simplify right side
    52,512.47x = 6,150,593,361.45
  5. Step 5: Solve for x
    x = 6,150,593,361.45/52,512.47
  6. Step 6: Final answer
    x = 117,126.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.