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Finding the Third Proportional to 84,336 and 126,468

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Solution

The third proportional to 84,336 and 126,468 is: 189,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,336 : 126,468 = 126,468 : x
  2. Step 2: Convert to fraction form
    84,336/126,468 = 126,468/x
  3. Step 3: Cross multiply
    84,336x = 126,468 × 126,468
  4. Step 4: Simplify right side
    84,336x = 15,994,155,024
  5. Step 5: Solve for x
    x = 15,994,155,024/84,336
  6. Step 6: Final answer
    x = 189,648.02

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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.