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Finding the Third Proportional to 56,727 and 118,122

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Solution

The third proportional to 56,727 and 118,122 is: 245,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,727 : 118,122 = 118,122 : x
  2. Step 2: Convert to fraction form
    56,727/118,122 = 118,122/x
  3. Step 3: Cross multiply
    56,727x = 118,122 × 118,122
  4. Step 4: Simplify right side
    56,727x = 13,952,806,884
  5. Step 5: Solve for x
    x = 13,952,806,884/56,727
  6. Step 6: Final answer
    x = 245,964.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.