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Finding the Third Proportional to 84,884 and 127,336.25

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Solution

The third proportional to 84,884 and 127,336.25 is: 191,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,884 : 127,336.25 = 127,336.25 : x
  2. Step 2: Convert to fraction form
    84,884/127,336.25 = 127,336.25/x
  3. Step 3: Cross multiply
    84,884x = 127,336.25 × 127,336.25
  4. Step 4: Simplify right side
    84,884x = 16,214,520,564.06
  5. Step 5: Solve for x
    x = 16,214,520,564.06/84,884
  6. Step 6: Final answer
    x = 191,019.75

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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.