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Finding the Third Proportional to 50,130.14 and 64,200.41

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Solution

The third proportional to 50,130.14 and 64,200.41 is: 82,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,130.14 : 64,200.41 = 64,200.41 : x
  2. Step 2: Convert to fraction form
    50,130.14/64,200.41 = 64,200.41/x
  3. Step 3: Cross multiply
    50,130.14x = 64,200.41 × 64,200.41
  4. Step 4: Simplify right side
    50,130.14x = 4,121,692,664.23
  5. Step 5: Solve for x
    x = 4,121,692,664.23/50,130.14
  6. Step 6: Final answer
    x = 82,219.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.