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Finding the Third Proportional to 51,784 and 110,952

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Solution

The third proportional to 51,784 and 110,952 is: 237,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784 : 110,952 = 110,952 : x
  2. Step 2: Convert to fraction form
    51,784/110,952 = 110,952/x
  3. Step 3: Cross multiply
    51,784x = 110,952 × 110,952
  4. Step 4: Simplify right side
    51,784x = 12,310,346,304
  5. Step 5: Solve for x
    x = 12,310,346,304/51,784
  6. Step 6: Final answer
    x = 237,724.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.