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Finding the Third Proportional to 75,656.50 and 113,811

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Solution

The third proportional to 75,656.50 and 113,811 is: 171,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,656.50 : 113,811 = 113,811 : x
  2. Step 2: Convert to fraction form
    75,656.50/113,811 = 113,811/x
  3. Step 3: Cross multiply
    75,656.50x = 113,811 × 113,811
  4. Step 4: Simplify right side
    75,656.50x = 12,952,943,721
  5. Step 5: Solve for x
    x = 12,952,943,721/75,656.50
  6. Step 6: Final answer
    x = 171,207.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.