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Finding the Third Proportional to 83,970 and 126,765

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Solution

The third proportional to 83,970 and 126,765 is: 191,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,970 : 126,765 = 126,765 : x
  2. Step 2: Convert to fraction form
    83,970/126,765 = 126,765/x
  3. Step 3: Cross multiply
    83,970x = 126,765 × 126,765
  4. Step 4: Simplify right side
    83,970x = 16,069,365,225
  5. Step 5: Solve for x
    x = 16,069,365,225/83,970
  6. Step 6: Final answer
    x = 191,370.31

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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.