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Finding the Third Proportional to 75,336.75 and 113,977.88

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Solution

The third proportional to 75,336.75 and 113,977.88 is: 172,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,336.75 : 113,977.88 = 113,977.88 : x
  2. Step 2: Convert to fraction form
    75,336.75/113,977.88 = 113,977.88/x
  3. Step 3: Cross multiply
    75,336.75x = 113,977.88 × 113,977.88
  4. Step 4: Simplify right side
    75,336.75x = 12,990,955,989.52
  5. Step 5: Solve for x
    x = 12,990,955,989.52/75,336.75
  6. Step 6: Final answer
    x = 172,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.