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Finding the Third Proportional to 102,170 and 136,359

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Solution

The third proportional to 102,170 and 136,359 is: 181,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,170 : 136,359 = 136,359 : x
  2. Step 2: Convert to fraction form
    102,170/136,359 = 136,359/x
  3. Step 3: Cross multiply
    102,170x = 136,359 × 136,359
  4. Step 4: Simplify right side
    102,170x = 18,593,776,881
  5. Step 5: Solve for x
    x = 18,593,776,881/102,170
  6. Step 6: Final answer
    x = 181,988.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.