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Finding the Third Proportional to 51,188 and 74,822

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Solution

The third proportional to 51,188 and 74,822 is: 109,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,188 : 74,822 = 74,822 : x
  2. Step 2: Convert to fraction form
    51,188/74,822 = 74,822/x
  3. Step 3: Cross multiply
    51,188x = 74,822 × 74,822
  4. Step 4: Simplify right side
    51,188x = 5,598,331,684
  5. Step 5: Solve for x
    x = 5,598,331,684/51,188
  6. Step 6: Final answer
    x = 109,368.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.