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Finding the Third Proportional to 61,182 and 129,600

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Solution

The third proportional to 61,182 and 129,600 is: 274,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,182 : 129,600 = 129,600 : x
  2. Step 2: Convert to fraction form
    61,182/129,600 = 129,600/x
  3. Step 3: Cross multiply
    61,182x = 129,600 × 129,600
  4. Step 4: Simplify right side
    61,182x = 16,796,160,000
  5. Step 5: Solve for x
    x = 16,796,160,000/61,182
  6. Step 6: Final answer
    x = 274,527.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.