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Finding the Third Proportional to 51,418 and 111,476

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Solution

The third proportional to 51,418 and 111,476 is: 241,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,418 : 111,476 = 111,476 : x
  2. Step 2: Convert to fraction form
    51,418/111,476 = 111,476/x
  3. Step 3: Cross multiply
    51,418x = 111,476 × 111,476
  4. Step 4: Simplify right side
    51,418x = 12,426,898,576
  5. Step 5: Solve for x
    x = 12,426,898,576/51,418
  6. Step 6: Final answer
    x = 241,683.82

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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.