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Finding the Third Proportional to 56,294 and 121,958

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Solution

The third proportional to 56,294 and 121,958 is: 264,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,294 : 121,958 = 121,958 : x
  2. Step 2: Convert to fraction form
    56,294/121,958 = 121,958/x
  3. Step 3: Cross multiply
    56,294x = 121,958 × 121,958
  4. Step 4: Simplify right side
    56,294x = 14,873,753,764
  5. Step 5: Solve for x
    x = 14,873,753,764/56,294
  6. Step 6: Final answer
    x = 264,215.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.