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Finding the Third Proportional to 87,932 and 130,258

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Solution

The third proportional to 87,932 and 130,258 is: 192,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,932 : 130,258 = 130,258 : x
  2. Step 2: Convert to fraction form
    87,932/130,258 = 130,258/x
  3. Step 3: Cross multiply
    87,932x = 130,258 × 130,258
  4. Step 4: Simplify right side
    87,932x = 16,967,146,564
  5. Step 5: Solve for x
    x = 16,967,146,564/87,932
  6. Step 6: Final answer
    x = 192,957.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.