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Finding the Third Proportional to 52,313 and 113,316

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Solution

The third proportional to 52,313 and 113,316 is: 245,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,313 : 113,316 = 113,316 : x
  2. Step 2: Convert to fraction form
    52,313/113,316 = 113,316/x
  3. Step 3: Cross multiply
    52,313x = 113,316 × 113,316
  4. Step 4: Simplify right side
    52,313x = 12,840,515,856
  5. Step 5: Solve for x
    x = 12,840,515,856/52,313
  6. Step 6: Final answer
    x = 245,455.54

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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.