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Finding the Third Proportional to 56,316 and 119,805

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Solution

The third proportional to 56,316 and 119,805 is: 254,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,316 : 119,805 = 119,805 : x
  2. Step 2: Convert to fraction form
    56,316/119,805 = 119,805/x
  3. Step 3: Cross multiply
    56,316x = 119,805 × 119,805
  4. Step 4: Simplify right side
    56,316x = 14,353,238,025
  5. Step 5: Solve for x
    x = 14,353,238,025/56,316
  6. Step 6: Final answer
    x = 254,869.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.