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Finding the Third Proportional to 86,993 and 185,373

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Solution

The third proportional to 86,993 and 185,373 is: 395,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,993 : 185,373 = 185,373 : x
  2. Step 2: Convert to fraction form
    86,993/185,373 = 185,373/x
  3. Step 3: Cross multiply
    86,993x = 185,373 × 185,373
  4. Step 4: Simplify right side
    86,993x = 34,363,149,129
  5. Step 5: Solve for x
    x = 34,363,149,129/86,993
  6. Step 6: Final answer
    x = 395,010.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.