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Finding the Third Proportional to 84,653 and 126,565

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Solution

The third proportional to 84,653 and 126,565 is: 189,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,653 : 126,565 = 126,565 : x
  2. Step 2: Convert to fraction form
    84,653/126,565 = 126,565/x
  3. Step 3: Cross multiply
    84,653x = 126,565 × 126,565
  4. Step 4: Simplify right side
    84,653x = 16,018,699,225
  5. Step 5: Solve for x
    x = 16,018,699,225/84,653
  6. Step 6: Final answer
    x = 189,227.78

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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.