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Finding the Third Proportional to 84,684 and 127,314

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Solution

The third proportional to 84,684 and 127,314 is: 191,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,684 : 127,314 = 127,314 : x
  2. Step 2: Convert to fraction form
    84,684/127,314 = 127,314/x
  3. Step 3: Cross multiply
    84,684x = 127,314 × 127,314
  4. Step 4: Simplify right side
    84,684x = 16,208,854,596
  5. Step 5: Solve for x
    x = 16,208,854,596/84,684
  6. Step 6: Final answer
    x = 191,403.98

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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.