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Finding the Third Proportional to 131,976 and 212,490

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Solution

The third proportional to 131,976 and 212,490 is: 342,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,976 : 212,490 = 212,490 : x
  2. Step 2: Convert to fraction form
    131,976/212,490 = 212,490/x
  3. Step 3: Cross multiply
    131,976x = 212,490 × 212,490
  4. Step 4: Simplify right side
    131,976x = 45,152,000,100
  5. Step 5: Solve for x
    x = 45,152,000,100/131,976
  6. Step 6: Final answer
    x = 342,122.81

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