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Finding the Third Proportional to 84,317 and 127,029

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Solution

The third proportional to 84,317 and 127,029 is: 191,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,317 : 127,029 = 127,029 : x
  2. Step 2: Convert to fraction form
    84,317/127,029 = 127,029/x
  3. Step 3: Cross multiply
    84,317x = 127,029 × 127,029
  4. Step 4: Simplify right side
    84,317x = 16,136,366,841
  5. Step 5: Solve for x
    x = 16,136,366,841/84,317
  6. Step 6: Final answer
    x = 191,377.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.