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Finding the Third Proportional to 86,965 and 124,027

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Solution

The third proportional to 86,965 and 124,027 is: 176,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,965 : 124,027 = 124,027 : x
  2. Step 2: Convert to fraction form
    86,965/124,027 = 124,027/x
  3. Step 3: Cross multiply
    86,965x = 124,027 × 124,027
  4. Step 4: Simplify right side
    86,965x = 15,382,696,729
  5. Step 5: Solve for x
    x = 15,382,696,729/86,965
  6. Step 6: Final answer
    x = 176,883.77

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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.