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Finding the Third Proportional to 81,829 and 127,000

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Solution

The third proportional to 81,829 and 127,000 is: 197,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,829 : 127,000 = 127,000 : x
  2. Step 2: Convert to fraction form
    81,829/127,000 = 127,000/x
  3. Step 3: Cross multiply
    81,829x = 127,000 × 127,000
  4. Step 4: Simplify right side
    81,829x = 16,129,000,000
  5. Step 5: Solve for x
    x = 16,129,000,000/81,829
  6. Step 6: Final answer
    x = 197,106.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.