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Finding the Third Proportional to 84,006 and 127,764

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Solution

The third proportional to 84,006 and 127,764 is: 194,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,006 : 127,764 = 127,764 : x
  2. Step 2: Convert to fraction form
    84,006/127,764 = 127,764/x
  3. Step 3: Cross multiply
    84,006x = 127,764 × 127,764
  4. Step 4: Simplify right side
    84,006x = 16,323,639,696
  5. Step 5: Solve for x
    x = 16,323,639,696/84,006
  6. Step 6: Final answer
    x = 194,315.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.