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Finding the Third Proportional to 75,783 and 112,197

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Solution

The third proportional to 75,783 and 112,197 is: 166,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783 : 112,197 = 112,197 : x
  2. Step 2: Convert to fraction form
    75,783/112,197 = 112,197/x
  3. Step 3: Cross multiply
    75,783x = 112,197 × 112,197
  4. Step 4: Simplify right side
    75,783x = 12,588,166,809
  5. Step 5: Solve for x
    x = 12,588,166,809/75,783
  6. Step 6: Final answer
    x = 166,108.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.