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Finding the Third Proportional to 87,900 and 130,206

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Solution

The third proportional to 87,900 and 130,206 is: 192,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,900 : 130,206 = 130,206 : x
  2. Step 2: Convert to fraction form
    87,900/130,206 = 130,206/x
  3. Step 3: Cross multiply
    87,900x = 130,206 × 130,206
  4. Step 4: Simplify right side
    87,900x = 16,953,602,436
  5. Step 5: Solve for x
    x = 16,953,602,436/87,900
  6. Step 6: Final answer
    x = 192,873.75

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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.