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Finding the Third Proportional to 51,281 and 111,310

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Solution

The third proportional to 51,281 and 111,310 is: 241,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,281 : 111,310 = 111,310 : x
  2. Step 2: Convert to fraction form
    51,281/111,310 = 111,310/x
  3. Step 3: Cross multiply
    51,281x = 111,310 × 111,310
  4. Step 4: Simplify right side
    51,281x = 12,389,916,100
  5. Step 5: Solve for x
    x = 12,389,916,100/51,281
  6. Step 6: Final answer
    x = 241,608.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.