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Finding the Third Proportional to 127,634 and 182,689

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Solution

The third proportional to 127,634 and 182,689 is: 261,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,634 : 182,689 = 182,689 : x
  2. Step 2: Convert to fraction form
    127,634/182,689 = 182,689/x
  3. Step 3: Cross multiply
    127,634x = 182,689 × 182,689
  4. Step 4: Simplify right side
    127,634x = 33,375,270,721
  5. Step 5: Solve for x
    x = 33,375,270,721/127,634
  6. Step 6: Final answer
    x = 261,492.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.