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Finding the Third Proportional to 84,260 and 126,732

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Solution

The third proportional to 84,260 and 126,732 is: 190,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,260 : 126,732 = 126,732 : x
  2. Step 2: Convert to fraction form
    84,260/126,732 = 126,732/x
  3. Step 3: Cross multiply
    84,260x = 126,732 × 126,732
  4. Step 4: Simplify right side
    84,260x = 16,060,999,824
  5. Step 5: Solve for x
    x = 16,060,999,824/84,260
  6. Step 6: Final answer
    x = 190,612.39

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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.