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Finding the Third Proportional to 84,104 and 126,514

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Solution

The third proportional to 84,104 and 126,514 is: 190,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,104 : 126,514 = 126,514 : x
  2. Step 2: Convert to fraction form
    84,104/126,514 = 126,514/x
  3. Step 3: Cross multiply
    84,104x = 126,514 × 126,514
  4. Step 4: Simplify right side
    84,104x = 16,005,792,196
  5. Step 5: Solve for x
    x = 16,005,792,196/84,104
  6. Step 6: Final answer
    x = 190,309.52

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