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Finding the Third Proportional to 86,258 and 129,027

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Solution

The third proportional to 86,258 and 129,027 is: 193,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,258 : 129,027 = 129,027 : x
  2. Step 2: Convert to fraction form
    86,258/129,027 = 129,027/x
  3. Step 3: Cross multiply
    86,258x = 129,027 × 129,027
  4. Step 4: Simplify right side
    86,258x = 16,647,966,729
  5. Step 5: Solve for x
    x = 16,647,966,729/86,258
  6. Step 6: Final answer
    x = 193,002.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.