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Finding the Third Proportional to 56,025 and 117,243

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Solution

The third proportional to 56,025 and 117,243 is: 245,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,025 : 117,243 = 117,243 : x
  2. Step 2: Convert to fraction form
    56,025/117,243 = 117,243/x
  3. Step 3: Cross multiply
    56,025x = 117,243 × 117,243
  4. Step 4: Simplify right side
    56,025x = 13,745,921,049
  5. Step 5: Solve for x
    x = 13,745,921,049/56,025
  6. Step 6: Final answer
    x = 245,353.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.