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Finding the Third Proportional to 56,711 and 123,784

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Solution

The third proportional to 56,711 and 123,784 is: 270,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,711 : 123,784 = 123,784 : x
  2. Step 2: Convert to fraction form
    56,711/123,784 = 123,784/x
  3. Step 3: Cross multiply
    56,711x = 123,784 × 123,784
  4. Step 4: Simplify right side
    56,711x = 15,322,478,656
  5. Step 5: Solve for x
    x = 15,322,478,656/56,711
  6. Step 6: Final answer
    x = 270,185.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.