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Finding the Third Proportional to 131,060 and 196,122

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Solution

The third proportional to 131,060 and 196,122 is: 293,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,060 : 196,122 = 196,122 : x
  2. Step 2: Convert to fraction form
    131,060/196,122 = 196,122/x
  3. Step 3: Cross multiply
    131,060x = 196,122 × 196,122
  4. Step 4: Simplify right side
    131,060x = 38,463,838,884
  5. Step 5: Solve for x
    x = 38,463,838,884/131,060
  6. Step 6: Final answer
    x = 293,482.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.