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Finding the Third Proportional to 94,818 and 127,227

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Solution

The third proportional to 94,818 and 127,227 is: 170,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,818 : 127,227 = 127,227 : x
  2. Step 2: Convert to fraction form
    94,818/127,227 = 127,227/x
  3. Step 3: Cross multiply
    94,818x = 127,227 × 127,227
  4. Step 4: Simplify right side
    94,818x = 16,186,709,529
  5. Step 5: Solve for x
    x = 16,186,709,529/94,818
  6. Step 6: Final answer
    x = 170,713.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.