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Finding the Third Proportional to 127,983 and 176,422

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Solution

The third proportional to 127,983 and 176,422 is: 243,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,983 : 176,422 = 176,422 : x
  2. Step 2: Convert to fraction form
    127,983/176,422 = 176,422/x
  3. Step 3: Cross multiply
    127,983x = 176,422 × 176,422
  4. Step 4: Simplify right side
    127,983x = 31,124,722,084
  5. Step 5: Solve for x
    x = 31,124,722,084/127,983
  6. Step 6: Final answer
    x = 243,194.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.