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Finding the Third Proportional to 56,827 and 119,645

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Solution

The third proportional to 56,827 and 119,645 is: 251,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,827 : 119,645 = 119,645 : x
  2. Step 2: Convert to fraction form
    56,827/119,645 = 119,645/x
  3. Step 3: Cross multiply
    56,827x = 119,645 × 119,645
  4. Step 4: Simplify right side
    56,827x = 14,314,926,025
  5. Step 5: Solve for x
    x = 14,314,926,025/56,827
  6. Step 6: Final answer
    x = 251,903.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.