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Finding the Third Proportional to 131,696 and 212,088

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Solution

The third proportional to 131,696 and 212,088 is: 341,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,696 : 212,088 = 212,088 : x
  2. Step 2: Convert to fraction form
    131,696/212,088 = 212,088/x
  3. Step 3: Cross multiply
    131,696x = 212,088 × 212,088
  4. Step 4: Simplify right side
    131,696x = 44,981,319,744
  5. Step 5: Solve for x
    x = 44,981,319,744/131,696
  6. Step 6: Final answer
    x = 341,554.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.