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Finding the Third Proportional to 84,656 and 126,570

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Solution

The third proportional to 84,656 and 126,570 is: 189,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,656 : 126,570 = 126,570 : x
  2. Step 2: Convert to fraction form
    84,656/126,570 = 126,570/x
  3. Step 3: Cross multiply
    84,656x = 126,570 × 126,570
  4. Step 4: Simplify right side
    84,656x = 16,019,964,900
  5. Step 5: Solve for x
    x = 16,019,964,900/84,656
  6. Step 6: Final answer
    x = 189,236.02

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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.