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Finding the Third Proportional to 116,243 and 179,623

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Solution

The third proportional to 116,243 and 179,623 is: 277,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,243 : 179,623 = 179,623 : x
  2. Step 2: Convert to fraction form
    116,243/179,623 = 179,623/x
  3. Step 3: Cross multiply
    116,243x = 179,623 × 179,623
  4. Step 4: Simplify right side
    116,243x = 32,264,422,129
  5. Step 5: Solve for x
    x = 32,264,422,129/116,243
  6. Step 6: Final answer
    x = 277,560.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.