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Finding the Third Proportional to 94,842 and 127,269

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Solution

The third proportional to 94,842 and 127,269 is: 170,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,842 : 127,269 = 127,269 : x
  2. Step 2: Convert to fraction form
    94,842/127,269 = 127,269/x
  3. Step 3: Cross multiply
    94,842x = 127,269 × 127,269
  4. Step 4: Simplify right side
    94,842x = 16,197,398,361
  5. Step 5: Solve for x
    x = 16,197,398,361/94,842
  6. Step 6: Final answer
    x = 170,782.97

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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.