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Finding the Third Proportional to 86,954 and 132,258

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Solution

The third proportional to 86,954 and 132,258 is: 201,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,954 : 132,258 = 132,258 : x
  2. Step 2: Convert to fraction form
    86,954/132,258 = 132,258/x
  3. Step 3: Cross multiply
    86,954x = 132,258 × 132,258
  4. Step 4: Simplify right side
    86,954x = 17,492,178,564
  5. Step 5: Solve for x
    x = 17,492,178,564/86,954
  6. Step 6: Final answer
    x = 201,165.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.